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Finding the Fourth Proportional to 20,275.28, 30,414.72 and 7,127.76

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Solution

The fourth proportional to 20,275.28, 30,414.72 and 7,127.76 is: 10,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.28 : 30,414.72 = 7,127.76 : x
  2. Step 2: Convert to fraction form
    20,275.28/30,414.72 = 7,127.76/x
  3. Step 3: Cross multiply
    20,275.28x = 30,414.72 × 7,127.76
  4. Step 4: Simplify right side
    20,275.28x = 216,788,965.41
  5. Step 5: Solve for x
    x = 216,788,965.41/20,275.28
  6. Step 6: Final answer
    x = 10,692.28

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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.