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Finding the Fourth Proportional to 12,229.50, 16,892.52 and 10,113.56

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Solution

The fourth proportional to 12,229.50, 16,892.52 and 10,113.56 is: 13,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.50 : 16,892.52 = 10,113.56 : x
  2. Step 2: Convert to fraction form
    12,229.50/16,892.52 = 10,113.56/x
  3. Step 3: Cross multiply
    12,229.50x = 16,892.52 × 10,113.56
  4. Step 4: Simplify right side
    12,229.50x = 170,843,514.57
  5. Step 5: Solve for x
    x = 170,843,514.57/12,229.50
  6. Step 6: Final answer
    x = 13,969.79

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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.