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Finding the Fourth Proportional to 25,469.28, 35,144.82 and 14,710.86

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Solution

The fourth proportional to 25,469.28, 35,144.82 and 14,710.86 is: 20,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.28 : 35,144.82 = 14,710.86 : x
  2. Step 2: Convert to fraction form
    25,469.28/35,144.82 = 14,710.86/x
  3. Step 3: Cross multiply
    25,469.28x = 35,144.82 × 14,710.86
  4. Step 4: Simplify right side
    25,469.28x = 517,010,526.75
  5. Step 5: Solve for x
    x = 517,010,526.75/25,469.28
  6. Step 6: Final answer
    x = 20,299.38

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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.