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Finding the Fourth Proportional to 20,476.31, 30,711.02 and 5,686.72

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Solution

The fourth proportional to 20,476.31, 30,711.02 and 5,686.72 is: 8,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.31 : 30,711.02 = 5,686.72 : x
  2. Step 2: Convert to fraction form
    20,476.31/30,711.02 = 5,686.72/x
  3. Step 3: Cross multiply
    20,476.31x = 30,711.02 × 5,686.72
  4. Step 4: Simplify right side
    20,476.31x = 174,644,909.09
  5. Step 5: Solve for x
    x = 174,644,909.09/20,476.31
  6. Step 6: Final answer
    x = 8,529.12

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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.