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Finding the Fourth Proportional to 11,449.60, 17,154.24 and 10,028.14

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Solution

The fourth proportional to 11,449.60, 17,154.24 and 10,028.14 is: 15,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.60 : 17,154.24 = 10,028.14 : x
  2. Step 2: Convert to fraction form
    11,449.60/17,154.24 = 10,028.14/x
  3. Step 3: Cross multiply
    11,449.60x = 17,154.24 × 10,028.14
  4. Step 4: Simplify right side
    11,449.60x = 172,025,120.31
  5. Step 5: Solve for x
    x = 172,025,120.31/11,449.60
  6. Step 6: Final answer
    x = 15,024.55

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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.