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Finding the Fourth Proportional to 26,517.96, 39,777 and 12,467.70

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Solution

The fourth proportional to 26,517.96, 39,777 and 12,467.70 is: 18,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,517.96 : 39,777 = 12,467.70 : x
  2. Step 2: Convert to fraction form
    26,517.96/39,777 = 12,467.70/x
  3. Step 3: Cross multiply
    26,517.96x = 39,777 × 12,467.70
  4. Step 4: Simplify right side
    26,517.96x = 495,927,702.90
  5. Step 5: Solve for x
    x = 495,927,702.90/26,517.96
  6. Step 6: Final answer
    x = 18,701.58

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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.