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Finding the Fourth Proportional to 12,144.38, 16,759.26 and 7,107.68

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Solution

The fourth proportional to 12,144.38, 16,759.26 and 7,107.68 is: 9,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.38 : 16,759.26 = 7,107.68 : x
  2. Step 2: Convert to fraction form
    12,144.38/16,759.26 = 7,107.68/x
  3. Step 3: Cross multiply
    12,144.38x = 16,759.26 × 7,107.68
  4. Step 4: Simplify right side
    12,144.38x = 119,119,457.12
  5. Step 5: Solve for x
    x = 119,119,457.12/12,144.38
  6. Step 6: Final answer
    x = 9,808.61

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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.