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Finding the Fourth Proportional to 27,084.48, 40,626.24 and 8,616

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Solution

The fourth proportional to 27,084.48, 40,626.24 and 8,616 is: 12,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084.48 : 40,626.24 = 8,616 : x
  2. Step 2: Convert to fraction form
    27,084.48/40,626.24 = 8,616/x
  3. Step 3: Cross multiply
    27,084.48x = 40,626.24 × 8,616
  4. Step 4: Simplify right side
    27,084.48x = 350,035,683.84
  5. Step 5: Solve for x
    x = 350,035,683.84/27,084.48
  6. Step 6: Final answer
    x = 12,923.85

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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.