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Finding the Fourth Proportional to 13,801.86, 20,711.27 and 5,480.42

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Solution

The fourth proportional to 13,801.86, 20,711.27 and 5,480.42 is: 8,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.86 : 20,711.27 = 5,480.42 : x
  2. Step 2: Convert to fraction form
    13,801.86/20,711.27 = 5,480.42/x
  3. Step 3: Cross multiply
    13,801.86x = 20,711.27 × 5,480.42
  4. Step 4: Simplify right side
    13,801.86x = 113,506,458.33
  5. Step 5: Solve for x
    x = 113,506,458.33/13,801.86
  6. Step 6: Final answer
    x = 8,224.00

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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.