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Finding the Fourth Proportional to 12,227.85, 16,874.51 and 7,192.31

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Solution

The fourth proportional to 12,227.85, 16,874.51 and 7,192.31 is: 9,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.85 : 16,874.51 = 7,192.31 : x
  2. Step 2: Convert to fraction form
    12,227.85/16,874.51 = 7,192.31/x
  3. Step 3: Cross multiply
    12,227.85x = 16,874.51 × 7,192.31
  4. Step 4: Simplify right side
    12,227.85x = 121,366,586.68
  5. Step 5: Solve for x
    x = 121,366,586.68/12,227.85
  6. Step 6: Final answer
    x = 9,925.42

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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.