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Finding the Fourth Proportional to 25,514.38, 35,204.38 and 14,899.20

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Solution

The fourth proportional to 25,514.38, 35,204.38 and 14,899.20 is: 20,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.38 : 35,204.38 = 14,899.20 : x
  2. Step 2: Convert to fraction form
    25,514.38/35,204.38 = 14,899.20/x
  3. Step 3: Cross multiply
    25,514.38x = 35,204.38 × 14,899.20
  4. Step 4: Simplify right side
    25,514.38x = 524,517,098.50
  5. Step 5: Solve for x
    x = 524,517,098.50/25,514.38
  6. Step 6: Final answer
    x = 20,557.71

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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.