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Finding the Fourth Proportional to 20,948.44, 31,432.92 and 9,854.68

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Solution

The fourth proportional to 20,948.44, 31,432.92 and 9,854.68 is: 14,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.44 : 31,432.92 = 9,854.68 : x
  2. Step 2: Convert to fraction form
    20,948.44/31,432.92 = 9,854.68/x
  3. Step 3: Cross multiply
    20,948.44x = 31,432.92 × 9,854.68
  4. Step 4: Simplify right side
    20,948.44x = 309,761,368.07
  5. Step 5: Solve for x
    x = 309,761,368.07/20,948.44
  6. Step 6: Final answer
    x = 14,786.85

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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.