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Finding the Fourth Proportional to 20,708.10, 31,062.15 and 7,569.90

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Solution

The fourth proportional to 20,708.10, 31,062.15 and 7,569.90 is: 11,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708.10 : 31,062.15 = 7,569.90 : x
  2. Step 2: Convert to fraction form
    20,708.10/31,062.15 = 7,569.90/x
  3. Step 3: Cross multiply
    20,708.10x = 31,062.15 × 7,569.90
  4. Step 4: Simplify right side
    20,708.10x = 235,137,369.29
  5. Step 5: Solve for x
    x = 235,137,369.29/20,708.10
  6. Step 6: Final answer
    x = 11,354.85

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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.