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Finding the Fourth Proportional to 17,702.27, 24,429.06 and 9,744.49

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Solution

The fourth proportional to 17,702.27, 24,429.06 and 9,744.49 is: 13,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.27 : 24,429.06 = 9,744.49 : x
  2. Step 2: Convert to fraction form
    17,702.27/24,429.06 = 9,744.49/x
  3. Step 3: Cross multiply
    17,702.27x = 24,429.06 × 9,744.49
  4. Step 4: Simplify right side
    17,702.27x = 238,048,747.62
  5. Step 5: Solve for x
    x = 238,048,747.62/17,702.27
  6. Step 6: Final answer
    x = 13,447.36

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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.