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Finding the Fourth Proportional to 27,216.38, 40,840.32 and 11,420

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Solution

The fourth proportional to 27,216.38, 40,840.32 and 11,420 is: 17,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216.38 : 40,840.32 = 11,420 : x
  2. Step 2: Convert to fraction form
    27,216.38/40,840.32 = 11,420/x
  3. Step 3: Cross multiply
    27,216.38x = 40,840.32 × 11,420
  4. Step 4: Simplify right side
    27,216.38x = 466,396,454.40
  5. Step 5: Solve for x
    x = 466,396,454.40/27,216.38
  6. Step 6: Final answer
    x = 17,136.61

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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.