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Finding the Fourth Proportional to 26,098.75, 39,151.19 and 8,323.16

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Solution

The fourth proportional to 26,098.75, 39,151.19 and 8,323.16 is: 12,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098.75 : 39,151.19 = 8,323.16 : x
  2. Step 2: Convert to fraction form
    26,098.75/39,151.19 = 8,323.16/x
  3. Step 3: Cross multiply
    26,098.75x = 39,151.19 × 8,323.16
  4. Step 4: Simplify right side
    26,098.75x = 325,861,737.25
  5. Step 5: Solve for x
    x = 325,861,737.25/26,098.75
  6. Step 6: Final answer
    x = 12,485.72

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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.