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Finding the Fourth Proportional to 12,500.20, 18,725.10 and 7,805.80

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Solution

The fourth proportional to 12,500.20, 18,725.10 and 7,805.80 is: 11,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500.20 : 18,725.10 = 7,805.80 : x
  2. Step 2: Convert to fraction form
    12,500.20/18,725.10 = 7,805.80/x
  3. Step 3: Cross multiply
    12,500.20x = 18,725.10 × 7,805.80
  4. Step 4: Simplify right side
    12,500.20x = 146,164,385.58
  5. Step 5: Solve for x
    x = 146,164,385.58/12,500.20
  6. Step 6: Final answer
    x = 11,692.96

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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.