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Finding the Fourth Proportional to 20,965.38, 31,417.47 and 9,724.15

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Solution

The fourth proportional to 20,965.38, 31,417.47 and 9,724.15 is: 14,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.38 : 31,417.47 = 9,724.15 : x
  2. Step 2: Convert to fraction form
    20,965.38/31,417.47 = 9,724.15/x
  3. Step 3: Cross multiply
    20,965.38x = 31,417.47 × 9,724.15
  4. Step 4: Simplify right side
    20,965.38x = 305,508,190.90
  5. Step 5: Solve for x
    x = 305,508,190.90/20,965.38
  6. Step 6: Final answer
    x = 14,572.03

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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.