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Finding the Fourth Proportional to 14,757.38, 20,357.97 and 8,787.14

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Solution

The fourth proportional to 14,757.38, 20,357.97 and 8,787.14 is: 12,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.38 : 20,357.97 = 8,787.14 : x
  2. Step 2: Convert to fraction form
    14,757.38/20,357.97 = 8,787.14/x
  3. Step 3: Cross multiply
    14,757.38x = 20,357.97 × 8,787.14
  4. Step 4: Simplify right side
    14,757.38x = 178,888,332.51
  5. Step 5: Solve for x
    x = 178,888,332.51/14,757.38
  6. Step 6: Final answer
    x = 12,121.96

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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.