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Finding the Fourth Proportional to 17,648.26, 26,464.62 and 8,290.94

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Solution

The fourth proportional to 17,648.26, 26,464.62 and 8,290.94 is: 12,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.26 : 26,464.62 = 8,290.94 : x
  2. Step 2: Convert to fraction form
    17,648.26/26,464.62 = 8,290.94/x
  3. Step 3: Cross multiply
    17,648.26x = 26,464.62 × 8,290.94
  4. Step 4: Simplify right side
    17,648.26x = 219,416,624.17
  5. Step 5: Solve for x
    x = 219,416,624.17/17,648.26
  6. Step 6: Final answer
    x = 12,432.76

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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.