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Finding the Fourth Proportional to 12,711.14, 19,059.02 and 5,689.86

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Solution

The fourth proportional to 12,711.14, 19,059.02 and 5,689.86 is: 8,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.14 : 19,059.02 = 5,689.86 : x
  2. Step 2: Convert to fraction form
    12,711.14/19,059.02 = 5,689.86/x
  3. Step 3: Cross multiply
    12,711.14x = 19,059.02 × 5,689.86
  4. Step 4: Simplify right side
    12,711.14x = 108,443,155.54
  5. Step 5: Solve for x
    x = 108,443,155.54/12,711.14
  6. Step 6: Final answer
    x = 8,531.35

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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.