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Finding the Fourth Proportional to 28,286.40, 42,429.76 and 10,761.20

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Solution

The fourth proportional to 28,286.40, 42,429.76 and 10,761.20 is: 16,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.40 : 42,429.76 = 10,761.20 : x
  2. Step 2: Convert to fraction form
    28,286.40/42,429.76 = 10,761.20/x
  3. Step 3: Cross multiply
    28,286.40x = 42,429.76 × 10,761.20
  4. Step 4: Simplify right side
    28,286.40x = 456,595,133.31
  5. Step 5: Solve for x
    x = 456,595,133.31/28,286.40
  6. Step 6: Final answer
    x = 16,141.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.