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Finding the Fourth Proportional to 17,589.42, 26,386.86 and 8,229.06

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Solution

The fourth proportional to 17,589.42, 26,386.86 and 8,229.06 is: 12,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.42 : 26,386.86 = 8,229.06 : x
  2. Step 2: Convert to fraction form
    17,589.42/26,386.86 = 8,229.06/x
  3. Step 3: Cross multiply
    17,589.42x = 26,386.86 × 8,229.06
  4. Step 4: Simplify right side
    17,589.42x = 217,139,054.15
  5. Step 5: Solve for x
    x = 217,139,054.15/17,589.42
  6. Step 6: Final answer
    x = 12,344.87

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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.