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Finding the Fourth Proportional to 13,912.86, 20,862.57 and 5,590.65

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Solution

The fourth proportional to 13,912.86, 20,862.57 and 5,590.65 is: 8,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.86 : 20,862.57 = 5,590.65 : x
  2. Step 2: Convert to fraction form
    13,912.86/20,862.57 = 5,590.65/x
  3. Step 3: Cross multiply
    13,912.86x = 20,862.57 × 5,590.65
  4. Step 4: Simplify right side
    13,912.86x = 116,635,326.97
  5. Step 5: Solve for x
    x = 116,635,326.97/13,912.86
  6. Step 6: Final answer
    x = 8,383.27

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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.