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Finding the Fourth Proportional to 18,689.84, 25,777.38 and 11,976.10

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Solution

The fourth proportional to 18,689.84, 25,777.38 and 11,976.10 is: 16,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689.84 : 25,777.38 = 11,976.10 : x
  2. Step 2: Convert to fraction form
    18,689.84/25,777.38 = 11,976.10/x
  3. Step 3: Cross multiply
    18,689.84x = 25,777.38 × 11,976.10
  4. Step 4: Simplify right side
    18,689.84x = 308,712,480.62
  5. Step 5: Solve for x
    x = 308,712,480.62/18,689.84
  6. Step 6: Final answer
    x = 16,517.66

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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.