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Finding the Fourth Proportional to 42,601.16, 63,892.94 and 11,429

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Solution

The fourth proportional to 42,601.16, 63,892.94 and 11,429 is: 17,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,601.16 : 63,892.94 = 11,429 : x
  2. Step 2: Convert to fraction form
    42,601.16/63,892.94 = 11,429/x
  3. Step 3: Cross multiply
    42,601.16x = 63,892.94 × 11,429
  4. Step 4: Simplify right side
    42,601.16x = 730,232,411.26
  5. Step 5: Solve for x
    x = 730,232,411.26/42,601.16
  6. Step 6: Final answer
    x = 17,141.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.