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Finding the Fourth Proportional to 13,801.60, 20,686.20 and 6,390.42

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Solution

The fourth proportional to 13,801.60, 20,686.20 and 6,390.42 is: 9,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.60 : 20,686.20 = 6,390.42 : x
  2. Step 2: Convert to fraction form
    13,801.60/20,686.20 = 6,390.42/x
  3. Step 3: Cross multiply
    13,801.60x = 20,686.20 × 6,390.42
  4. Step 4: Simplify right side
    13,801.60x = 132,193,506.20
  5. Step 5: Solve for x
    x = 132,193,506.20/13,801.60
  6. Step 6: Final answer
    x = 9,578.13

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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.