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Finding the Fourth Proportional to 12,233.50, 16,882.29 and 7,197.93

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Solution

The fourth proportional to 12,233.50, 16,882.29 and 7,197.93 is: 9,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.50 : 16,882.29 = 7,197.93 : x
  2. Step 2: Convert to fraction form
    12,233.50/16,882.29 = 7,197.93/x
  3. Step 3: Cross multiply
    12,233.50x = 16,882.29 × 7,197.93
  4. Step 4: Simplify right side
    12,233.50x = 121,517,541.66
  5. Step 5: Solve for x
    x = 121,517,541.66/12,233.50
  6. Step 6: Final answer
    x = 9,933.18

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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.