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Finding the Fourth Proportional to 22,287.48, 30,761.28 and 12,854.76

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Solution

The fourth proportional to 22,287.48, 30,761.28 and 12,854.76 is: 17,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.48 : 30,761.28 = 12,854.76 : x
  2. Step 2: Convert to fraction form
    22,287.48/30,761.28 = 12,854.76/x
  3. Step 3: Cross multiply
    22,287.48x = 30,761.28 × 12,854.76
  4. Step 4: Simplify right side
    22,287.48x = 395,428,871.69
  5. Step 5: Solve for x
    x = 395,428,871.69/22,287.48
  6. Step 6: Final answer
    x = 17,742.20

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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.