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Finding the Fourth Proportional to 12,385.60, 17,084.64 and 8,195.20

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Solution

The fourth proportional to 12,385.60, 17,084.64 and 8,195.20 is: 11,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.60 : 17,084.64 = 8,195.20 : x
  2. Step 2: Convert to fraction form
    12,385.60/17,084.64 = 8,195.20/x
  3. Step 3: Cross multiply
    12,385.60x = 17,084.64 × 8,195.20
  4. Step 4: Simplify right side
    12,385.60x = 140,012,041.73
  5. Step 5: Solve for x
    x = 140,012,041.73/12,385.60
  6. Step 6: Final answer
    x = 11,304.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.