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Finding the Fourth Proportional to 12,113.80, 18,170.70 and 7,966.60

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Solution

The fourth proportional to 12,113.80, 18,170.70 and 7,966.60 is: 11,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.80 : 18,170.70 = 7,966.60 : x
  2. Step 2: Convert to fraction form
    12,113.80/18,170.70 = 7,966.60/x
  3. Step 3: Cross multiply
    12,113.80x = 18,170.70 × 7,966.60
  4. Step 4: Simplify right side
    12,113.80x = 144,758,698.62
  5. Step 5: Solve for x
    x = 144,758,698.62/12,113.80
  6. Step 6: Final answer
    x = 11,949.90

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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.