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Finding the Fourth Proportional to 12,232.42, 16,882.93 and 7,197.96

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Solution

The fourth proportional to 12,232.42, 16,882.93 and 7,197.96 is: 9,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.42 : 16,882.93 = 7,197.96 : x
  2. Step 2: Convert to fraction form
    12,232.42/16,882.93 = 7,197.96/x
  3. Step 3: Cross multiply
    12,232.42x = 16,882.93 × 7,197.96
  4. Step 4: Simplify right side
    12,232.42x = 121,522,727.13
  5. Step 5: Solve for x
    x = 121,522,727.13/12,232.42
  6. Step 6: Final answer
    x = 9,934.48

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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.