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Finding the Fourth Proportional to 17,727.66, 26,594.65 and 5,882.14

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Solution

The fourth proportional to 17,727.66, 26,594.65 and 5,882.14 is: 8,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.66 : 26,594.65 = 5,882.14 : x
  2. Step 2: Convert to fraction form
    17,727.66/26,594.65 = 5,882.14/x
  3. Step 3: Cross multiply
    17,727.66x = 26,594.65 × 5,882.14
  4. Step 4: Simplify right side
    17,727.66x = 156,433,358.65
  5. Step 5: Solve for x
    x = 156,433,358.65/17,727.66
  6. Step 6: Final answer
    x = 8,824.26

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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.