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Finding the Fourth Proportional to 17,702.23, 24,429.09 and 9,744.40

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Solution

The fourth proportional to 17,702.23, 24,429.09 and 9,744.40 is: 13,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.23 : 24,429.09 = 9,744.40 : x
  2. Step 2: Convert to fraction form
    17,702.23/24,429.09 = 9,744.40/x
  3. Step 3: Cross multiply
    17,702.23x = 24,429.09 × 9,744.40
  4. Step 4: Simplify right side
    17,702.23x = 238,046,836.86
  5. Step 5: Solve for x
    x = 238,046,836.86/17,702.23
  6. Step 6: Final answer
    x = 13,447.28

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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.