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Finding the Fourth Proportional to 25,049.34, 34,568.87 and 13,872.38

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Solution

The fourth proportional to 25,049.34, 34,568.87 and 13,872.38 is: 19,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.34 : 34,568.87 = 13,872.38 : x
  2. Step 2: Convert to fraction form
    25,049.34/34,568.87 = 13,872.38/x
  3. Step 3: Cross multiply
    25,049.34x = 34,568.87 × 13,872.38
  4. Step 4: Simplify right side
    25,049.34x = 479,552,500.81
  5. Step 5: Solve for x
    x = 479,552,500.81/25,049.34
  6. Step 6: Final answer
    x = 19,144.32

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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.