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Finding the Fourth Proportional to 17,702.67, 24,429.69 and 9,744.90

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Solution

The fourth proportional to 17,702.67, 24,429.69 and 9,744.90 is: 13,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.67 : 24,429.69 = 9,744.90 : x
  2. Step 2: Convert to fraction form
    17,702.67/24,429.69 = 9,744.90/x
  3. Step 3: Cross multiply
    17,702.67x = 24,429.69 × 9,744.90
  4. Step 4: Simplify right side
    17,702.67x = 238,064,886.08
  5. Step 5: Solve for x
    x = 238,064,886.08/17,702.67
  6. Step 6: Final answer
    x = 13,447.96

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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.