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Finding the Fourth Proportional to 13,026.28, 19,542.30 and 3,793

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Solution

The fourth proportional to 13,026.28, 19,542.30 and 3,793 is: 5,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.28 : 19,542.30 = 3,793 : x
  2. Step 2: Convert to fraction form
    13,026.28/19,542.30 = 3,793/x
  3. Step 3: Cross multiply
    13,026.28x = 19,542.30 × 3,793
  4. Step 4: Simplify right side
    13,026.28x = 74,123,943.90
  5. Step 5: Solve for x
    x = 74,123,943.90/13,026.28
  6. Step 6: Final answer
    x = 5,690.34

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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.