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Finding the Fourth Proportional to 20,575.70, 30,863.55 and 5,785.10

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Solution

The fourth proportional to 20,575.70, 30,863.55 and 5,785.10 is: 8,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.70 : 30,863.55 = 5,785.10 : x
  2. Step 2: Convert to fraction form
    20,575.70/30,863.55 = 5,785.10/x
  3. Step 3: Cross multiply
    20,575.70x = 30,863.55 × 5,785.10
  4. Step 4: Simplify right side
    20,575.70x = 178,548,723.11
  5. Step 5: Solve for x
    x = 178,548,723.11/20,575.70
  6. Step 6: Final answer
    x = 8,677.65

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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.