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Finding the Fourth Proportional to 20,497.66, 28,287.73 and 11,546.15

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Solution

The fourth proportional to 20,497.66, 28,287.73 and 11,546.15 is: 15,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.66 : 28,287.73 = 11,546.15 : x
  2. Step 2: Convert to fraction form
    20,497.66/28,287.73 = 11,546.15/x
  3. Step 3: Cross multiply
    20,497.66x = 28,287.73 × 11,546.15
  4. Step 4: Simplify right side
    20,497.66x = 326,614,246.73
  5. Step 5: Solve for x
    x = 326,614,246.73/20,497.66
  6. Step 6: Final answer
    x = 15,934.22

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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.