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Finding the Fourth Proportional to 12,549.64, 17,306.56 and 9,560.20

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Solution

The fourth proportional to 12,549.64, 17,306.56 and 9,560.20 is: 13,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.64 : 17,306.56 = 9,560.20 : x
  2. Step 2: Convert to fraction form
    12,549.64/17,306.56 = 9,560.20/x
  3. Step 3: Cross multiply
    12,549.64x = 17,306.56 × 9,560.20
  4. Step 4: Simplify right side
    12,549.64x = 165,454,174.91
  5. Step 5: Solve for x
    x = 165,454,174.91/12,549.64
  6. Step 6: Final answer
    x = 13,183.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.