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Finding the Fourth Proportional to 13,854.62, 20,770.36 and 6,455.27

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Solution

The fourth proportional to 13,854.62, 20,770.36 and 6,455.27 is: 9,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.62 : 20,770.36 = 6,455.27 : x
  2. Step 2: Convert to fraction form
    13,854.62/20,770.36 = 6,455.27/x
  3. Step 3: Cross multiply
    13,854.62x = 20,770.36 × 6,455.27
  4. Step 4: Simplify right side
    13,854.62x = 134,078,281.80
  5. Step 5: Solve for x
    x = 134,078,281.80/13,854.62
  6. Step 6: Final answer
    x = 9,677.51

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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.