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Finding the Fourth Proportional to 15,034.13, 22,544.66 and 7,138.92

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Solution

The fourth proportional to 15,034.13, 22,544.66 and 7,138.92 is: 10,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.13 : 22,544.66 = 7,138.92 : x
  2. Step 2: Convert to fraction form
    15,034.13/22,544.66 = 7,138.92/x
  3. Step 3: Cross multiply
    15,034.13x = 22,544.66 × 7,138.92
  4. Step 4: Simplify right side
    15,034.13x = 160,944,488.47
  5. Step 5: Solve for x
    x = 160,944,488.47/15,034.13
  6. Step 6: Final answer
    x = 10,705.28

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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.