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Finding the Fourth Proportional to 23,182.65, 31,991.68 and 13,110.71

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Solution

The fourth proportional to 23,182.65, 31,991.68 and 13,110.71 is: 18,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.65 : 31,991.68 = 13,110.71 : x
  2. Step 2: Convert to fraction form
    23,182.65/31,991.68 = 13,110.71/x
  3. Step 3: Cross multiply
    23,182.65x = 31,991.68 × 13,110.71
  4. Step 4: Simplify right side
    23,182.65x = 419,433,601.53
  5. Step 5: Solve for x
    x = 419,433,601.53/23,182.65
  6. Step 6: Final answer
    x = 18,092.57

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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.