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Finding the Fourth Proportional to 15,138.83, 22,708.31 and 5,278.10

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Solution

The fourth proportional to 15,138.83, 22,708.31 and 5,278.10 is: 7,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.83 : 22,708.31 = 5,278.10 : x
  2. Step 2: Convert to fraction form
    15,138.83/22,708.31 = 5,278.10/x
  3. Step 3: Cross multiply
    15,138.83x = 22,708.31 × 5,278.10
  4. Step 4: Simplify right side
    15,138.83x = 119,856,591.08
  5. Step 5: Solve for x
    x = 119,856,591.08/15,138.83
  6. Step 6: Final answer
    x = 7,917.17

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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.