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Finding the Fourth Proportional to 23,432, 32,340 and 13,501.76

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Solution

The fourth proportional to 23,432, 32,340 and 13,501.76 is: 18,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432 : 32,340 = 13,501.76 : x
  2. Step 2: Convert to fraction form
    23,432/32,340 = 13,501.76/x
  3. Step 3: Cross multiply
    23,432x = 32,340 × 13,501.76
  4. Step 4: Simplify right side
    23,432x = 436,646,918.40
  5. Step 5: Solve for x
    x = 436,646,918.40/23,432
  6. Step 6: Final answer
    x = 18,634.64

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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.