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Finding the Fourth Proportional to 22,915.36, 31,531.56 and 22,230.64

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Solution

The fourth proportional to 22,915.36, 31,531.56 and 22,230.64 is: 30,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.36 : 31,531.56 = 22,230.64 : x
  2. Step 2: Convert to fraction form
    22,915.36/31,531.56 = 22,230.64/x
  3. Step 3: Cross multiply
    22,915.36x = 31,531.56 × 22,230.64
  4. Step 4: Simplify right side
    22,915.36x = 700,966,759.00
  5. Step 5: Solve for x
    x = 700,966,759.00/22,915.36
  6. Step 6: Final answer
    x = 30,589.38

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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.