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Finding the Fourth Proportional to 27,197.46, 37,532.70 and 17,766

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Solution

The fourth proportional to 27,197.46, 37,532.70 and 17,766 is: 24,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.46 : 37,532.70 = 17,766 : x
  2. Step 2: Convert to fraction form
    27,197.46/37,532.70 = 17,766/x
  3. Step 3: Cross multiply
    27,197.46x = 37,532.70 × 17,766
  4. Step 4: Simplify right side
    27,197.46x = 666,805,948.20
  5. Step 5: Solve for x
    x = 666,805,948.20/27,197.46
  6. Step 6: Final answer
    x = 24,517.21

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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.