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Finding the Fourth Proportional to 29,614.09, 44,423.46 and 9,892.71

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Solution

The fourth proportional to 29,614.09, 44,423.46 and 9,892.71 is: 14,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.09 : 44,423.46 = 9,892.71 : x
  2. Step 2: Convert to fraction form
    29,614.09/44,423.46 = 9,892.71/x
  3. Step 3: Cross multiply
    29,614.09x = 44,423.46 × 9,892.71
  4. Step 4: Simplify right side
    29,614.09x = 439,468,406.98
  5. Step 5: Solve for x
    x = 439,468,406.98/29,614.09
  6. Step 6: Final answer
    x = 14,839.84

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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.