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Finding the Fourth Proportional to 17,702.06, 24,429.72 and 9,744.20

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Solution

The fourth proportional to 17,702.06, 24,429.72 and 9,744.20 is: 13,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.06 : 24,429.72 = 9,744.20 : x
  2. Step 2: Convert to fraction form
    17,702.06/24,429.72 = 9,744.20/x
  3. Step 3: Cross multiply
    17,702.06x = 24,429.72 × 9,744.20
  4. Step 4: Simplify right side
    17,702.06x = 238,048,077.62
  5. Step 5: Solve for x
    x = 238,048,077.62/17,702.06
  6. Step 6: Final answer
    x = 13,447.48

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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.