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Finding the Fourth Proportional to 20,901.71, 31,349.84 and 10,367.66

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Solution

The fourth proportional to 20,901.71, 31,349.84 and 10,367.66 is: 15,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.71 : 31,349.84 = 10,367.66 : x
  2. Step 2: Convert to fraction form
    20,901.71/31,349.84 = 10,367.66/x
  3. Step 3: Cross multiply
    20,901.71x = 31,349.84 × 10,367.66
  4. Step 4: Simplify right side
    20,901.71x = 325,024,508.71
  5. Step 5: Solve for x
    x = 325,024,508.71/20,901.71
  6. Step 6: Final answer
    x = 15,550.14

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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.