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Finding the Fourth Proportional to 17,702.86, 24,429.75 and 9,744.91

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Solution

The fourth proportional to 17,702.86, 24,429.75 and 9,744.91 is: 13,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.86 : 24,429.75 = 9,744.91 : x
  2. Step 2: Convert to fraction form
    17,702.86/24,429.75 = 9,744.91/x
  3. Step 3: Cross multiply
    17,702.86x = 24,429.75 × 9,744.91
  4. Step 4: Simplify right side
    17,702.86x = 238,065,715.07
  5. Step 5: Solve for x
    x = 238,065,715.07/17,702.86
  6. Step 6: Final answer
    x = 13,447.87

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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.