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Finding the Fourth Proportional to 20,565.60, 30,829.50 and 7,414.76

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Solution

The fourth proportional to 20,565.60, 30,829.50 and 7,414.76 is: 11,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.60 : 30,829.50 = 7,414.76 : x
  2. Step 2: Convert to fraction form
    20,565.60/30,829.50 = 7,414.76/x
  3. Step 3: Cross multiply
    20,565.60x = 30,829.50 × 7,414.76
  4. Step 4: Simplify right side
    20,565.60x = 228,593,343.42
  5. Step 5: Solve for x
    x = 228,593,343.42/20,565.60
  6. Step 6: Final answer
    x = 11,115.33

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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.