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Finding the Fourth Proportional to 27,647.55, 38,153.25 and 16,317

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Solution

The fourth proportional to 27,647.55, 38,153.25 and 16,317 is: 22,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.55 : 38,153.25 = 16,317 : x
  2. Step 2: Convert to fraction form
    27,647.55/38,153.25 = 16,317/x
  3. Step 3: Cross multiply
    27,647.55x = 38,153.25 × 16,317
  4. Step 4: Simplify right side
    27,647.55x = 622,546,580.25
  5. Step 5: Solve for x
    x = 622,546,580.25/27,647.55
  6. Step 6: Final answer
    x = 22,517.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.