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Finding the Fourth Proportional to 14,757.38, 20,364.59 and 8,042.87

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Solution

The fourth proportional to 14,757.38, 20,364.59 and 8,042.87 is: 11,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.38 : 20,364.59 = 8,042.87 : x
  2. Step 2: Convert to fraction form
    14,757.38/20,364.59 = 8,042.87/x
  3. Step 3: Cross multiply
    14,757.38x = 20,364.59 × 8,042.87
  4. Step 4: Simplify right side
    14,757.38x = 163,789,709.76
  5. Step 5: Solve for x
    x = 163,789,709.76/14,757.38
  6. Step 6: Final answer
    x = 11,098.83

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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.