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Finding the Fourth Proportional to 16,502.56, 24,741 and 11,223.76

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Solution

The fourth proportional to 16,502.56, 24,741 and 11,223.76 is: 16,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.56 : 24,741 = 11,223.76 : x
  2. Step 2: Convert to fraction form
    16,502.56/24,741 = 11,223.76/x
  3. Step 3: Cross multiply
    16,502.56x = 24,741 × 11,223.76
  4. Step 4: Simplify right side
    16,502.56x = 277,687,046.16
  5. Step 5: Solve for x
    x = 277,687,046.16/16,502.56
  6. Step 6: Final answer
    x = 16,826.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.