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Finding the Fourth Proportional to 12,294.45, 16,989.03 and 11,687.58

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Solution

The fourth proportional to 12,294.45, 16,989.03 and 11,687.58 is: 16,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.45 : 16,989.03 = 11,687.58 : x
  2. Step 2: Convert to fraction form
    12,294.45/16,989.03 = 11,687.58/x
  3. Step 3: Cross multiply
    12,294.45x = 16,989.03 × 11,687.58
  4. Step 4: Simplify right side
    12,294.45x = 198,560,647.25
  5. Step 5: Solve for x
    x = 198,560,647.25/12,294.45
  6. Step 6: Final answer
    x = 16,150.43

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1.5x scale

Why These Related Problems?

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