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Finding the Fourth Proportional to 17,835.68, 26,764.45 and 7,983.29

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Solution

The fourth proportional to 17,835.68, 26,764.45 and 7,983.29 is: 11,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.68 : 26,764.45 = 7,983.29 : x
  2. Step 2: Convert to fraction form
    17,835.68/26,764.45 = 7,983.29/x
  3. Step 3: Cross multiply
    17,835.68x = 26,764.45 × 7,983.29
  4. Step 4: Simplify right side
    17,835.68x = 213,668,212.26
  5. Step 5: Solve for x
    x = 213,668,212.26/17,835.68
  6. Step 6: Final answer
    x = 11,979.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.