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Finding the Fourth Proportional to 25,676.28, 35,429.78 and 14,344.38

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Solution

The fourth proportional to 25,676.28, 35,429.78 and 14,344.38 is: 19,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.28 : 35,429.78 = 14,344.38 : x
  2. Step 2: Convert to fraction form
    25,676.28/35,429.78 = 14,344.38/x
  3. Step 3: Cross multiply
    25,676.28x = 35,429.78 × 14,344.38
  4. Step 4: Simplify right side
    25,676.28x = 508,218,227.64
  5. Step 5: Solve for x
    x = 508,218,227.64/25,676.28
  6. Step 6: Final answer
    x = 19,793.30

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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.