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Finding the Fourth Proportional to 23,435, 32,344.14 and 13,504.76

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Solution

The fourth proportional to 23,435, 32,344.14 and 13,504.76 is: 18,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435 : 32,344.14 = 13,504.76 : x
  2. Step 2: Convert to fraction form
    23,435/32,344.14 = 13,504.76/x
  3. Step 3: Cross multiply
    23,435x = 32,344.14 × 13,504.76
  4. Step 4: Simplify right side
    23,435x = 436,799,848.11
  5. Step 5: Solve for x
    x = 436,799,848.11/23,435
  6. Step 6: Final answer
    x = 18,638.78

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.