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Finding the Fourth Proportional to 22,612.14, 31,205.12 and 12,541

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Solution

The fourth proportional to 22,612.14, 31,205.12 and 12,541 is: 17,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.14 : 31,205.12 = 12,541 : x
  2. Step 2: Convert to fraction form
    22,612.14/31,205.12 = 12,541/x
  3. Step 3: Cross multiply
    22,612.14x = 31,205.12 × 12,541
  4. Step 4: Simplify right side
    22,612.14x = 391,343,409.92
  5. Step 5: Solve for x
    x = 391,343,409.92/22,612.14
  6. Step 6: Final answer
    x = 17,306.78

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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.