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Finding the Fourth Proportional to 25,549.38, 35,255.37 and 14,217.09

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Solution

The fourth proportional to 25,549.38, 35,255.37 and 14,217.09 is: 19,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549.38 : 35,255.37 = 14,217.09 : x
  2. Step 2: Convert to fraction form
    25,549.38/35,255.37 = 14,217.09/x
  3. Step 3: Cross multiply
    25,549.38x = 35,255.37 × 14,217.09
  4. Step 4: Simplify right side
    25,549.38x = 501,228,768.27
  5. Step 5: Solve for x
    x = 501,228,768.27/25,549.38
  6. Step 6: Final answer
    x = 19,618.04

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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.