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Finding the Fourth Proportional to 17,660.31, 24,371.67 and 9,702.73

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Solution

The fourth proportional to 17,660.31, 24,371.67 and 9,702.73 is: 13,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.31 : 24,371.67 = 9,702.73 : x
  2. Step 2: Convert to fraction form
    17,660.31/24,371.67 = 9,702.73/x
  3. Step 3: Cross multiply
    17,660.31x = 24,371.67 × 9,702.73
  4. Step 4: Simplify right side
    17,660.31x = 236,471,800.51
  5. Step 5: Solve for x
    x = 236,471,800.51/17,660.31
  6. Step 6: Final answer
    x = 13,390.02

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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.