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Finding the Fourth Proportional to 22,517.80, 31,074.19 and 12,446.06

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Solution

The fourth proportional to 22,517.80, 31,074.19 and 12,446.06 is: 17,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.80 : 31,074.19 = 12,446.06 : x
  2. Step 2: Convert to fraction form
    22,517.80/31,074.19 = 12,446.06/x
  3. Step 3: Cross multiply
    22,517.80x = 31,074.19 × 12,446.06
  4. Step 4: Simplify right side
    22,517.80x = 386,751,046.71
  5. Step 5: Solve for x
    x = 386,751,046.71/22,517.80
  6. Step 6: Final answer
    x = 17,175.35

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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.