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Finding the Fourth Proportional to 12,197.20, 16,832.36 and 7,479.76

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Solution

The fourth proportional to 12,197.20, 16,832.36 and 7,479.76 is: 10,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.20 : 16,832.36 = 7,479.76 : x
  2. Step 2: Convert to fraction form
    12,197.20/16,832.36 = 7,479.76/x
  3. Step 3: Cross multiply
    12,197.20x = 16,832.36 × 7,479.76
  4. Step 4: Simplify right side
    12,197.20x = 125,902,013.03
  5. Step 5: Solve for x
    x = 125,902,013.03/12,197.20
  6. Step 6: Final answer
    x = 10,322.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.