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Finding the Fourth Proportional to 12,223.31, 16,882.02 and 8,237.57

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Solution

The fourth proportional to 12,223.31, 16,882.02 and 8,237.57 is: 11,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.31 : 16,882.02 = 8,237.57 : x
  2. Step 2: Convert to fraction form
    12,223.31/16,882.02 = 8,237.57/x
  3. Step 3: Cross multiply
    12,223.31x = 16,882.02 × 8,237.57
  4. Step 4: Simplify right side
    12,223.31x = 139,066,737.08
  5. Step 5: Solve for x
    x = 139,066,737.08/12,223.31
  6. Step 6: Final answer
    x = 11,377.18

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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.