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Finding the Fourth Proportional to 27,911.72, 38,517.05 and 16,580.90

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Solution

The fourth proportional to 27,911.72, 38,517.05 and 16,580.90 is: 22,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.72 : 38,517.05 = 16,580.90 : x
  2. Step 2: Convert to fraction form
    27,911.72/38,517.05 = 16,580.90/x
  3. Step 3: Cross multiply
    27,911.72x = 38,517.05 × 16,580.90
  4. Step 4: Simplify right side
    27,911.72x = 638,647,492.09
  5. Step 5: Solve for x
    x = 638,647,492.09/27,911.72
  6. Step 6: Final answer
    x = 22,880.98

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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.