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Finding the Fourth Proportional to 17,627.57, 26,443.82 and 5,148.50

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Solution

The fourth proportional to 17,627.57, 26,443.82 and 5,148.50 is: 7,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.57 : 26,443.82 = 5,148.50 : x
  2. Step 2: Convert to fraction form
    17,627.57/26,443.82 = 5,148.50/x
  3. Step 3: Cross multiply
    17,627.57x = 26,443.82 × 5,148.50
  4. Step 4: Simplify right side
    17,627.57x = 136,146,086.25
  5. Step 5: Solve for x
    x = 136,146,086.25/17,627.57
  6. Step 6: Final answer
    x = 7,723.48

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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.