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Finding the Fourth Proportional to 22,966.24, 31,693.80 and 12,757

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Solution

The fourth proportional to 22,966.24, 31,693.80 and 12,757 is: 17,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.24 : 31,693.80 = 12,757 : x
  2. Step 2: Convert to fraction form
    22,966.24/31,693.80 = 12,757/x
  3. Step 3: Cross multiply
    22,966.24x = 31,693.80 × 12,757
  4. Step 4: Simplify right side
    22,966.24x = 404,317,806.60
  5. Step 5: Solve for x
    x = 404,317,806.60/22,966.24
  6. Step 6: Final answer
    x = 17,604.88

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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.