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Finding the Fourth Proportional to 13,658.20, 20,524.37 and 7,422.82

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Solution

The fourth proportional to 13,658.20, 20,524.37 and 7,422.82 is: 11,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.20 : 20,524.37 = 7,422.82 : x
  2. Step 2: Convert to fraction form
    13,658.20/20,524.37 = 7,422.82/x
  3. Step 3: Cross multiply
    13,658.20x = 20,524.37 × 7,422.82
  4. Step 4: Simplify right side
    13,658.20x = 152,348,615.70
  5. Step 5: Solve for x
    x = 152,348,615.70/13,658.20
  6. Step 6: Final answer
    x = 11,154.37

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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.