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Finding the Fourth Proportional to 18,664.25, 25,757.88 and 12,377.84

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Solution

The fourth proportional to 18,664.25, 25,757.88 and 12,377.84 is: 17,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664.25 : 25,757.88 = 12,377.84 : x
  2. Step 2: Convert to fraction form
    18,664.25/25,757.88 = 12,377.84/x
  3. Step 3: Cross multiply
    18,664.25x = 25,757.88 × 12,377.84
  4. Step 4: Simplify right side
    18,664.25x = 318,826,917.38
  5. Step 5: Solve for x
    x = 318,826,917.38/18,664.25
  6. Step 6: Final answer
    x = 17,082.22

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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.