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Finding the Fourth Proportional to 17,660.44, 24,371.80 and 9,702.68

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Solution

The fourth proportional to 17,660.44, 24,371.80 and 9,702.68 is: 13,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.44 : 24,371.80 = 9,702.68 : x
  2. Step 2: Convert to fraction form
    17,660.44/24,371.80 = 9,702.68/x
  3. Step 3: Cross multiply
    17,660.44x = 24,371.80 × 9,702.68
  4. Step 4: Simplify right side
    17,660.44x = 236,471,776.42
  5. Step 5: Solve for x
    x = 236,471,776.42/17,660.44
  6. Step 6: Final answer
    x = 13,389.91

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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.