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Finding the Fourth Proportional to 13,546.88, 20,320.68 and 6,525.80

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Solution

The fourth proportional to 13,546.88, 20,320.68 and 6,525.80 is: 9,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.88 : 20,320.68 = 6,525.80 : x
  2. Step 2: Convert to fraction form
    13,546.88/20,320.68 = 6,525.80/x
  3. Step 3: Cross multiply
    13,546.88x = 20,320.68 × 6,525.80
  4. Step 4: Simplify right side
    13,546.88x = 132,608,693.54
  5. Step 5: Solve for x
    x = 132,608,693.54/13,546.88
  6. Step 6: Final answer
    x = 9,788.87

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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.