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Finding the Fourth Proportional to 15,139.81, 22,711.26 and 5,787.70

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Solution

The fourth proportional to 15,139.81, 22,711.26 and 5,787.70 is: 8,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,139.81 : 22,711.26 = 5,787.70 : x
  2. Step 2: Convert to fraction form
    15,139.81/22,711.26 = 5,787.70/x
  3. Step 3: Cross multiply
    15,139.81x = 22,711.26 × 5,787.70
  4. Step 4: Simplify right side
    15,139.81x = 131,445,959.50
  5. Step 5: Solve for x
    x = 131,445,959.50/15,139.81
  6. Step 6: Final answer
    x = 8,682.14

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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.