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Finding the Fourth Proportional to 25,720.48, 38,584.41 and 7,952.52

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Solution

The fourth proportional to 25,720.48, 38,584.41 and 7,952.52 is: 11,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.48 : 38,584.41 = 7,952.52 : x
  2. Step 2: Convert to fraction form
    25,720.48/38,584.41 = 7,952.52/x
  3. Step 3: Cross multiply
    25,720.48x = 38,584.41 × 7,952.52
  4. Step 4: Simplify right side
    25,720.48x = 306,843,234.04
  5. Step 5: Solve for x
    x = 306,843,234.04/25,720.48
  6. Step 6: Final answer
    x = 11,929.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.