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Finding the Fourth Proportional to 27,429, 41,149.14 and 8,708.63

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Solution

The fourth proportional to 27,429, 41,149.14 and 8,708.63 is: 13,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429 : 41,149.14 = 8,708.63 : x
  2. Step 2: Convert to fraction form
    27,429/41,149.14 = 8,708.63/x
  3. Step 3: Cross multiply
    27,429x = 41,149.14 × 8,708.63
  4. Step 4: Simplify right side
    27,429x = 358,352,429.33
  5. Step 5: Solve for x
    x = 358,352,429.33/27,429
  6. Step 6: Final answer
    x = 13,064.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.