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Finding the Fourth Proportional to 29,431.68, 40,621.14 and 17,502

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Solution

The fourth proportional to 29,431.68, 40,621.14 and 17,502 is: 24,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.68 : 40,621.14 = 17,502 : x
  2. Step 2: Convert to fraction form
    29,431.68/40,621.14 = 17,502/x
  3. Step 3: Cross multiply
    29,431.68x = 40,621.14 × 17,502
  4. Step 4: Simplify right side
    29,431.68x = 710,951,192.28
  5. Step 5: Solve for x
    x = 710,951,192.28/29,431.68
  6. Step 6: Final answer
    x = 24,155.98

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