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Finding the Fourth Proportional to 23,424, 32,328.96 and 13,493.76

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Solution

The fourth proportional to 23,424, 32,328.96 and 13,493.76 is: 18,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424 : 32,328.96 = 13,493.76 : x
  2. Step 2: Convert to fraction form
    23,424/32,328.96 = 13,493.76/x
  3. Step 3: Cross multiply
    23,424x = 32,328.96 × 13,493.76
  4. Step 4: Simplify right side
    23,424x = 436,239,227.29
  5. Step 5: Solve for x
    x = 436,239,227.29/23,424
  6. Step 6: Final answer
    x = 18,623.60

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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.