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Finding the Fourth Proportional to 14,728.32, 20,324.34 and 8,013.78

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Solution

The fourth proportional to 14,728.32, 20,324.34 and 8,013.78 is: 11,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.32 : 20,324.34 = 8,013.78 : x
  2. Step 2: Convert to fraction form
    14,728.32/20,324.34 = 8,013.78/x
  3. Step 3: Cross multiply
    14,728.32x = 20,324.34 × 8,013.78
  4. Step 4: Simplify right side
    14,728.32x = 162,874,789.41
  5. Step 5: Solve for x
    x = 162,874,789.41/14,728.32
  6. Step 6: Final answer
    x = 11,058.61

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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.