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Finding the Fourth Proportional to 12,234.36, 16,882.63 and 7,197.62

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Solution

The fourth proportional to 12,234.36, 16,882.63 and 7,197.62 is: 9,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.36 : 16,882.63 = 7,197.62 : x
  2. Step 2: Convert to fraction form
    12,234.36/16,882.63 = 7,197.62/x
  3. Step 3: Cross multiply
    12,234.36x = 16,882.63 × 7,197.62
  4. Step 4: Simplify right side
    12,234.36x = 121,514,652.93
  5. Step 5: Solve for x
    x = 121,514,652.93/12,234.36
  6. Step 6: Final answer
    x = 9,932.24

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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.