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Finding the Fourth Proportional to 20,524.88, 30,766.28 and 15,584.06

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Solution

The fourth proportional to 20,524.88, 30,766.28 and 15,584.06 is: 23,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.88 : 30,766.28 = 15,584.06 : x
  2. Step 2: Convert to fraction form
    20,524.88/30,766.28 = 15,584.06/x
  3. Step 3: Cross multiply
    20,524.88x = 30,766.28 × 15,584.06
  4. Step 4: Simplify right side
    20,524.88x = 479,463,553.50
  5. Step 5: Solve for x
    x = 479,463,553.50/20,524.88
  6. Step 6: Final answer
    x = 23,360.11

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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.