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Finding the Fourth Proportional to 23,086, 31,858.68 and 13,151.92

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Solution

The fourth proportional to 23,086, 31,858.68 and 13,151.92 is: 18,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086 : 31,858.68 = 13,151.92 : x
  2. Step 2: Convert to fraction form
    23,086/31,858.68 = 13,151.92/x
  3. Step 3: Cross multiply
    23,086x = 31,858.68 × 13,151.92
  4. Step 4: Simplify right side
    23,086x = 419,002,810.67
  5. Step 5: Solve for x
    x = 419,002,810.67/23,086
  6. Step 6: Final answer
    x = 18,149.65

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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.