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Finding the Fourth Proportional to 17,892, 26,842.76 and 6,205.20

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Solution

The fourth proportional to 17,892, 26,842.76 and 6,205.20 is: 9,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892 : 26,842.76 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    17,892/26,842.76 = 6,205.20/x
  3. Step 3: Cross multiply
    17,892x = 26,842.76 × 6,205.20
  4. Step 4: Simplify right side
    17,892x = 166,564,694.35
  5. Step 5: Solve for x
    x = 166,564,694.35/17,892
  6. Step 6: Final answer
    x = 9,309.45

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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.