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Finding the Fourth Proportional to 17,929.57, 24,743.43 and 9,863.86

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Solution

The fourth proportional to 17,929.57, 24,743.43 and 9,863.86 is: 13,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.57 : 24,743.43 = 9,863.86 : x
  2. Step 2: Convert to fraction form
    17,929.57/24,743.43 = 9,863.86/x
  3. Step 3: Cross multiply
    17,929.57x = 24,743.43 × 9,863.86
  4. Step 4: Simplify right side
    17,929.57x = 244,065,605.72
  5. Step 5: Solve for x
    x = 244,065,605.72/17,929.57
  6. Step 6: Final answer
    x = 13,612.47

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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.