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Finding the Fourth Proportional to 15,490.74, 23,242.20 and 9,254.16

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Solution

The fourth proportional to 15,490.74, 23,242.20 and 9,254.16 is: 13,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.74 : 23,242.20 = 9,254.16 : x
  2. Step 2: Convert to fraction form
    15,490.74/23,242.20 = 9,254.16/x
  3. Step 3: Cross multiply
    15,490.74x = 23,242.20 × 9,254.16
  4. Step 4: Simplify right side
    15,490.74x = 215,087,037.55
  5. Step 5: Solve for x
    x = 215,087,037.55/15,490.74
  6. Step 6: Final answer
    x = 13,884.88

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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.