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Finding the Fourth Proportional to 17,915.62, 24,724.38 and 9,958.64

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Solution

The fourth proportional to 17,915.62, 24,724.38 and 9,958.64 is: 13,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,915.62 : 24,724.38 = 9,958.64 : x
  2. Step 2: Convert to fraction form
    17,915.62/24,724.38 = 9,958.64/x
  3. Step 3: Cross multiply
    17,915.62x = 24,724.38 × 9,958.64
  4. Step 4: Simplify right side
    17,915.62x = 246,221,199.64
  5. Step 5: Solve for x
    x = 246,221,199.64/17,915.62
  6. Step 6: Final answer
    x = 13,743.38

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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.