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Finding the Fourth Proportional to 12,201.20, 18,307.64 and 8,458.76

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Solution

The fourth proportional to 12,201.20, 18,307.64 and 8,458.76 is: 12,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.20 : 18,307.64 = 8,458.76 : x
  2. Step 2: Convert to fraction form
    12,201.20/18,307.64 = 8,458.76/x
  3. Step 3: Cross multiply
    12,201.20x = 18,307.64 × 8,458.76
  4. Step 4: Simplify right side
    12,201.20x = 154,859,932.93
  5. Step 5: Solve for x
    x = 154,859,932.93/12,201.20
  6. Step 6: Final answer
    x = 12,692.19

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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.