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Finding the Fourth Proportional to 25,500.40, 38,250.55 and 6,780.44

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Solution

The fourth proportional to 25,500.40, 38,250.55 and 6,780.44 is: 10,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.40 : 38,250.55 = 6,780.44 : x
  2. Step 2: Convert to fraction form
    25,500.40/38,250.55 = 6,780.44/x
  3. Step 3: Cross multiply
    25,500.40x = 38,250.55 × 6,780.44
  4. Step 4: Simplify right side
    25,500.40x = 259,355,410.04
  5. Step 5: Solve for x
    x = 259,355,410.04/25,500.40
  6. Step 6: Final answer
    x = 10,170.64

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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.