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Finding the Fourth Proportional to 20,930.40, 31,395.60 and 20,565.90

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Solution

The fourth proportional to 20,930.40, 31,395.60 and 20,565.90 is: 30,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.40 : 31,395.60 = 20,565.90 : x
  2. Step 2: Convert to fraction form
    20,930.40/31,395.60 = 20,565.90/x
  3. Step 3: Cross multiply
    20,930.40x = 31,395.60 × 20,565.90
  4. Step 4: Simplify right side
    20,930.40x = 645,678,770.04
  5. Step 5: Solve for x
    x = 645,678,770.04/20,930.40
  6. Step 6: Final answer
    x = 30,848.85

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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.