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Finding the Fourth Proportional to 17,647.68, 26,424.16 and 9,310.40

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Solution

The fourth proportional to 17,647.68, 26,424.16 and 9,310.40 is: 13,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.68 : 26,424.16 = 9,310.40 : x
  2. Step 2: Convert to fraction form
    17,647.68/26,424.16 = 9,310.40/x
  3. Step 3: Cross multiply
    17,647.68x = 26,424.16 × 9,310.40
  4. Step 4: Simplify right side
    17,647.68x = 246,019,499.26
  5. Step 5: Solve for x
    x = 246,019,499.26/17,647.68
  6. Step 6: Final answer
    x = 13,940.61

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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.