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Finding the Fourth Proportional to 17,702.67, 24,429.49 and 9,744.73

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Solution

The fourth proportional to 17,702.67, 24,429.49 and 9,744.73 is: 13,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.67 : 24,429.49 = 9,744.73 : x
  2. Step 2: Convert to fraction form
    17,702.67/24,429.49 = 9,744.73/x
  3. Step 3: Cross multiply
    17,702.67x = 24,429.49 × 9,744.73
  4. Step 4: Simplify right side
    17,702.67x = 238,058,784.09
  5. Step 5: Solve for x
    x = 238,058,784.09/17,702.67
  6. Step 6: Final answer
    x = 13,447.62

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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.