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Finding the Fourth Proportional to 17,531.62, 26,307 and 10,150.50

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Solution

The fourth proportional to 17,531.62, 26,307 and 10,150.50 is: 15,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.62 : 26,307 = 10,150.50 : x
  2. Step 2: Convert to fraction form
    17,531.62/26,307 = 10,150.50/x
  3. Step 3: Cross multiply
    17,531.62x = 26,307 × 10,150.50
  4. Step 4: Simplify right side
    17,531.62x = 267,029,203.50
  5. Step 5: Solve for x
    x = 267,029,203.50/17,531.62
  6. Step 6: Final answer
    x = 15,231.29

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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.