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Finding the Fourth Proportional to 14,107.38, 19,472.58 and 8,731.68

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Solution

The fourth proportional to 14,107.38, 19,472.58 and 8,731.68 is: 12,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.38 : 19,472.58 = 8,731.68 : x
  2. Step 2: Convert to fraction form
    14,107.38/19,472.58 = 8,731.68/x
  3. Step 3: Cross multiply
    14,107.38x = 19,472.58 × 8,731.68
  4. Step 4: Simplify right side
    14,107.38x = 170,028,337.33
  5. Step 5: Solve for x
    x = 170,028,337.33/14,107.38
  6. Step 6: Final answer
    x = 12,052.44

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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.