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Finding the Fourth Proportional to 27,766.32, 38,318.64 and 15,191.20

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Solution

The fourth proportional to 27,766.32, 38,318.64 and 15,191.20 is: 20,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.32 : 38,318.64 = 15,191.20 : x
  2. Step 2: Convert to fraction form
    27,766.32/38,318.64 = 15,191.20/x
  3. Step 3: Cross multiply
    27,766.32x = 38,318.64 × 15,191.20
  4. Step 4: Simplify right side
    27,766.32x = 582,106,123.97
  5. Step 5: Solve for x
    x = 582,106,123.97/27,766.32
  6. Step 6: Final answer
    x = 20,964.47

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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.