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Finding the Fourth Proportional to 17,854.96, 24,640.78 and 10,781.86

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Solution

The fourth proportional to 17,854.96, 24,640.78 and 10,781.86 is: 14,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.96 : 24,640.78 = 10,781.86 : x
  2. Step 2: Convert to fraction form
    17,854.96/24,640.78 = 10,781.86/x
  3. Step 3: Cross multiply
    17,854.96x = 24,640.78 × 10,781.86
  4. Step 4: Simplify right side
    17,854.96x = 265,673,440.25
  5. Step 5: Solve for x
    x = 265,673,440.25/17,854.96
  6. Step 6: Final answer
    x = 14,879.53

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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.