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Finding the Fourth Proportional to 39,414.92, 59,071.04 and 16,014

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Solution

The fourth proportional to 39,414.92, 59,071.04 and 16,014 is: 24,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414.92 : 59,071.04 = 16,014 : x
  2. Step 2: Convert to fraction form
    39,414.92/59,071.04 = 16,014/x
  3. Step 3: Cross multiply
    39,414.92x = 59,071.04 × 16,014
  4. Step 4: Simplify right side
    39,414.92x = 945,963,634.56
  5. Step 5: Solve for x
    x = 945,963,634.56/39,414.92
  6. Step 6: Final answer
    x = 24,000.14

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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.