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Finding the Fourth Proportional to 25,050, 34,571.52 and 13,872

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Solution

The fourth proportional to 25,050, 34,571.52 and 13,872 is: 19,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,050 : 34,571.52 = 13,872 : x
  2. Step 2: Convert to fraction form
    25,050/34,571.52 = 13,872/x
  3. Step 3: Cross multiply
    25,050x = 34,571.52 × 13,872
  4. Step 4: Simplify right side
    25,050x = 479,576,125.44
  5. Step 5: Solve for x
    x = 479,576,125.44/25,050
  6. Step 6: Final answer
    x = 19,144.76

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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.