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Finding the Fourth Proportional to 17,682.47, 26,523 and 5,995.69

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Solution

The fourth proportional to 17,682.47, 26,523 and 5,995.69 is: 8,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.47 : 26,523 = 5,995.69 : x
  2. Step 2: Convert to fraction form
    17,682.47/26,523 = 5,995.69/x
  3. Step 3: Cross multiply
    17,682.47x = 26,523 × 5,995.69
  4. Step 4: Simplify right side
    17,682.47x = 159,023,619.56
  5. Step 5: Solve for x
    x = 159,023,619.56/17,682.47
  6. Step 6: Final answer
    x = 8,993.29

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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.