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Finding the Fourth Proportional to 28,281.46, 42,357.56 and 13,500.76

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Solution

The fourth proportional to 28,281.46, 42,357.56 and 13,500.76 is: 20,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,281.46 : 42,357.56 = 13,500.76 : x
  2. Step 2: Convert to fraction form
    28,281.46/42,357.56 = 13,500.76/x
  3. Step 3: Cross multiply
    28,281.46x = 42,357.56 × 13,500.76
  4. Step 4: Simplify right side
    28,281.46x = 571,859,251.75
  5. Step 5: Solve for x
    x = 571,859,251.75/28,281.46
  6. Step 6: Final answer
    x = 20,220.29

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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.