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Finding the Fourth Proportional to 22,452.88, 33,680.16 and 6,870.64

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Solution

The fourth proportional to 22,452.88, 33,680.16 and 6,870.64 is: 10,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.88 : 33,680.16 = 6,870.64 : x
  2. Step 2: Convert to fraction form
    22,452.88/33,680.16 = 6,870.64/x
  3. Step 3: Cross multiply
    22,452.88x = 33,680.16 × 6,870.64
  4. Step 4: Simplify right side
    22,452.88x = 231,404,254.50
  5. Step 5: Solve for x
    x = 231,404,254.50/22,452.88
  6. Step 6: Final answer
    x = 10,306.22

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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.