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Finding the Fourth Proportional to 13,719.90, 20,542.41 and 10,002.78

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Solution

The fourth proportional to 13,719.90, 20,542.41 and 10,002.78 is: 14,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.90 : 20,542.41 = 10,002.78 : x
  2. Step 2: Convert to fraction form
    13,719.90/20,542.41 = 10,002.78/x
  3. Step 3: Cross multiply
    13,719.90x = 20,542.41 × 10,002.78
  4. Step 4: Simplify right side
    13,719.90x = 205,481,207.90
  5. Step 5: Solve for x
    x = 205,481,207.90/13,719.90
  6. Step 6: Final answer
    x = 14,976.87

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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.