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Finding the Fourth Proportional to 22,517.79, 31,074.13 and 12,446.65

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Solution

The fourth proportional to 22,517.79, 31,074.13 and 12,446.65 is: 17,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.79 : 31,074.13 = 12,446.65 : x
  2. Step 2: Convert to fraction form
    22,517.79/31,074.13 = 12,446.65/x
  3. Step 3: Cross multiply
    22,517.79x = 31,074.13 × 12,446.65
  4. Step 4: Simplify right side
    22,517.79x = 386,768,820.16
  5. Step 5: Solve for x
    x = 386,768,820.16/22,517.79
  6. Step 6: Final answer
    x = 17,176.14

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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.