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Finding the Fourth Proportional to 12,585.31, 17,366.31 and 7,549.73

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Solution

The fourth proportional to 12,585.31, 17,366.31 and 7,549.73 is: 10,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.31 : 17,366.31 = 7,549.73 : x
  2. Step 2: Convert to fraction form
    12,585.31/17,366.31 = 7,549.73/x
  3. Step 3: Cross multiply
    12,585.31x = 17,366.31 × 7,549.73
  4. Step 4: Simplify right side
    12,585.31x = 131,110,951.60
  5. Step 5: Solve for x
    x = 131,110,951.60/12,585.31
  6. Step 6: Final answer
    x = 10,417.78

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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.