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Finding the Fourth Proportional to 20,787.74, 31,103.00 and 12,753.82

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Solution

The fourth proportional to 20,787.74, 31,103.00 and 12,753.82 is: 19,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.74 : 31,103.00 = 12,753.82 : x
  2. Step 2: Convert to fraction form
    20,787.74/31,103.00 = 12,753.82/x
  3. Step 3: Cross multiply
    20,787.74x = 31,103.00 × 12,753.82
  4. Step 4: Simplify right side
    20,787.74x = 396,681,969.76
  5. Step 5: Solve for x
    x = 396,681,969.76/20,787.74
  6. Step 6: Final answer
    x = 19,082.50

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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.