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Finding the Fourth Proportional to 13,422.99, 20,134.49 and 3,562.68

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Solution

The fourth proportional to 13,422.99, 20,134.49 and 3,562.68 is: 5,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.99 : 20,134.49 = 3,562.68 : x
  2. Step 2: Convert to fraction form
    13,422.99/20,134.49 = 3,562.68/x
  3. Step 3: Cross multiply
    13,422.99x = 20,134.49 × 3,562.68
  4. Step 4: Simplify right side
    13,422.99x = 71,732,744.83
  5. Step 5: Solve for x
    x = 71,732,744.83/13,422.99
  6. Step 6: Final answer
    x = 5,344.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.