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Finding the Fourth Proportional to 20,931.69, 31,398.89 and 9,244.88

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Solution

The fourth proportional to 20,931.69, 31,398.89 and 9,244.88 is: 13,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.69 : 31,398.89 = 9,244.88 : x
  2. Step 2: Convert to fraction form
    20,931.69/31,398.89 = 9,244.88/x
  3. Step 3: Cross multiply
    20,931.69x = 31,398.89 × 9,244.88
  4. Step 4: Simplify right side
    20,931.69x = 290,278,766.96
  5. Step 5: Solve for x
    x = 290,278,766.96/20,931.69
  6. Step 6: Final answer
    x = 13,867.91

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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.