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Finding the Fourth Proportional to 17,702.56, 24,430.41 and 9,744.70

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Solution

The fourth proportional to 17,702.56, 24,430.41 and 9,744.70 is: 13,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.56 : 24,430.41 = 9,744.70 : x
  2. Step 2: Convert to fraction form
    17,702.56/24,430.41 = 9,744.70/x
  3. Step 3: Cross multiply
    17,702.56x = 24,430.41 × 9,744.70
  4. Step 4: Simplify right side
    17,702.56x = 238,067,016.33
  5. Step 5: Solve for x
    x = 238,067,016.33/17,702.56
  6. Step 6: Final answer
    x = 13,448.17

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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.