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Finding the Fourth Proportional to 23,081.80, 31,854.38 and 12,873.98

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Solution

The fourth proportional to 23,081.80, 31,854.38 and 12,873.98 is: 17,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081.80 : 31,854.38 = 12,873.98 : x
  2. Step 2: Convert to fraction form
    23,081.80/31,854.38 = 12,873.98/x
  3. Step 3: Cross multiply
    23,081.80x = 31,854.38 × 12,873.98
  4. Step 4: Simplify right side
    23,081.80x = 410,092,559.53
  5. Step 5: Solve for x
    x = 410,092,559.53/23,081.80
  6. Step 6: Final answer
    x = 17,766.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.