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Finding the Fourth Proportional to 12,340.80, 18,498.24 and 7,967.52

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Solution

The fourth proportional to 12,340.80, 18,498.24 and 7,967.52 is: 11,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.80 : 18,498.24 = 7,967.52 : x
  2. Step 2: Convert to fraction form
    12,340.80/18,498.24 = 7,967.52/x
  3. Step 3: Cross multiply
    12,340.80x = 18,498.24 × 7,967.52
  4. Step 4: Simplify right side
    12,340.80x = 147,385,097.16
  5. Step 5: Solve for x
    x = 147,385,097.16/12,340.80
  6. Step 6: Final answer
    x = 11,942.91

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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.