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Finding the Fourth Proportional to 15,034.20, 22,508.10 and 9,202.20

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Solution

The fourth proportional to 15,034.20, 22,508.10 and 9,202.20 is: 13,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.20 : 22,508.10 = 9,202.20 : x
  2. Step 2: Convert to fraction form
    15,034.20/22,508.10 = 9,202.20/x
  3. Step 3: Cross multiply
    15,034.20x = 22,508.10 × 9,202.20
  4. Step 4: Simplify right side
    15,034.20x = 207,124,037.82
  5. Step 5: Solve for x
    x = 207,124,037.82/15,034.20
  6. Step 6: Final answer
    x = 13,776.86

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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.