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Finding the Fourth Proportional to 20,345.85, 30,471.39 and 19,785.30

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Solution

The fourth proportional to 20,345.85, 30,471.39 and 19,785.30 is: 29,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.85 : 30,471.39 = 19,785.30 : x
  2. Step 2: Convert to fraction form
    20,345.85/30,471.39 = 19,785.30/x
  3. Step 3: Cross multiply
    20,345.85x = 30,471.39 × 19,785.30
  4. Step 4: Simplify right side
    20,345.85x = 602,885,592.57
  5. Step 5: Solve for x
    x = 602,885,592.57/20,345.85
  6. Step 6: Final answer
    x = 29,631.87

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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.