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Finding the Fourth Proportional to 20,236.88, 30,351.16 and 7,752.72

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Solution

The fourth proportional to 20,236.88, 30,351.16 and 7,752.72 is: 11,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.88 : 30,351.16 = 7,752.72 : x
  2. Step 2: Convert to fraction form
    20,236.88/30,351.16 = 7,752.72/x
  3. Step 3: Cross multiply
    20,236.88x = 30,351.16 × 7,752.72
  4. Step 4: Simplify right side
    20,236.88x = 235,304,045.16
  5. Step 5: Solve for x
    x = 235,304,045.16/20,236.88
  6. Step 6: Final answer
    x = 11,627.49

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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.