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Finding the Fourth Proportional to 17,410.27, 26,099.51 and 6,314.49

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Solution

The fourth proportional to 17,410.27, 26,099.51 and 6,314.49 is: 9,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.27 : 26,099.51 = 6,314.49 : x
  2. Step 2: Convert to fraction form
    17,410.27/26,099.51 = 6,314.49/x
  3. Step 3: Cross multiply
    17,410.27x = 26,099.51 × 6,314.49
  4. Step 4: Simplify right side
    17,410.27x = 164,805,039.35
  5. Step 5: Solve for x
    x = 164,805,039.35/17,410.27
  6. Step 6: Final answer
    x = 9,465.97

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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.