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Finding the Fourth Proportional to 17,702.43, 24,429.74 and 9,744.99

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Solution

The fourth proportional to 17,702.43, 24,429.74 and 9,744.99 is: 13,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.43 : 24,429.74 = 9,744.99 : x
  2. Step 2: Convert to fraction form
    17,702.43/24,429.74 = 9,744.99/x
  3. Step 3: Cross multiply
    17,702.43x = 24,429.74 × 9,744.99
  4. Step 4: Simplify right side
    17,702.43x = 238,067,523.28
  5. Step 5: Solve for x
    x = 238,067,523.28/17,702.43
  6. Step 6: Final answer
    x = 13,448.30

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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.