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Finding the Fourth Proportional to 15,138.96, 22,707.90 and 5,278.20

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Solution

The fourth proportional to 15,138.96, 22,707.90 and 5,278.20 is: 7,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.96 : 22,707.90 = 5,278.20 : x
  2. Step 2: Convert to fraction form
    15,138.96/22,707.90 = 5,278.20/x
  3. Step 3: Cross multiply
    15,138.96x = 22,707.90 × 5,278.20
  4. Step 4: Simplify right side
    15,138.96x = 119,856,837.78
  5. Step 5: Solve for x
    x = 119,856,837.78/15,138.96
  6. Step 6: Final answer
    x = 7,917.11

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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.