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Finding the Fourth Proportional to 12,234.22, 16,882.88 and 7,197.29

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Solution

The fourth proportional to 12,234.22, 16,882.88 and 7,197.29 is: 9,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.22 : 16,882.88 = 7,197.29 : x
  2. Step 2: Convert to fraction form
    12,234.22/16,882.88 = 7,197.29/x
  3. Step 3: Cross multiply
    12,234.22x = 16,882.88 × 7,197.29
  4. Step 4: Simplify right side
    12,234.22x = 121,510,966.79
  5. Step 5: Solve for x
    x = 121,510,966.79/12,234.22
  6. Step 6: Final answer
    x = 9,932.05

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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.