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Finding the Fourth Proportional to 17,532, 26,310.96 and 8,298

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Solution

The fourth proportional to 17,532, 26,310.96 and 8,298 is: 12,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532 : 26,310.96 = 8,298 : x
  2. Step 2: Convert to fraction form
    17,532/26,310.96 = 8,298/x
  3. Step 3: Cross multiply
    17,532x = 26,310.96 × 8,298
  4. Step 4: Simplify right side
    17,532x = 218,328,346.08
  5. Step 5: Solve for x
    x = 218,328,346.08/17,532
  6. Step 6: Final answer
    x = 12,453.13

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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.