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Finding the Fourth Proportional to 13,758.48, 20,649.87 and 7,524.18

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Solution

The fourth proportional to 13,758.48, 20,649.87 and 7,524.18 is: 11,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.48 : 20,649.87 = 7,524.18 : x
  2. Step 2: Convert to fraction form
    13,758.48/20,649.87 = 7,524.18/x
  3. Step 3: Cross multiply
    13,758.48x = 20,649.87 × 7,524.18
  4. Step 4: Simplify right side
    13,758.48x = 155,373,338.86
  5. Step 5: Solve for x
    x = 155,373,338.86/13,758.48
  6. Step 6: Final answer
    x = 11,292.91

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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.