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Finding the Fourth Proportional to 13,801.20, 20,701.80 and 5,478.45

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Solution

The fourth proportional to 13,801.20, 20,701.80 and 5,478.45 is: 8,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.20 : 20,701.80 = 5,478.45 : x
  2. Step 2: Convert to fraction form
    13,801.20/20,701.80 = 5,478.45/x
  3. Step 3: Cross multiply
    13,801.20x = 20,701.80 × 5,478.45
  4. Step 4: Simplify right side
    13,801.20x = 113,413,776.21
  5. Step 5: Solve for x
    x = 113,413,776.21/13,801.20
  6. Step 6: Final answer
    x = 8,217.68

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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.