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Finding the Fourth Proportional to 12,149.97, 16,766.07 and 7,113.87

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Solution

The fourth proportional to 12,149.97, 16,766.07 and 7,113.87 is: 9,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.97 : 16,766.07 = 7,113.87 : x
  2. Step 2: Convert to fraction form
    12,149.97/16,766.07 = 7,113.87/x
  3. Step 3: Cross multiply
    12,149.97x = 16,766.07 × 7,113.87
  4. Step 4: Simplify right side
    12,149.97x = 119,271,642.39
  5. Step 5: Solve for x
    x = 119,271,642.39/12,149.97
  6. Step 6: Final answer
    x = 9,816.62

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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.