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Finding the Fourth Proportional to 26,077, 39,115.50 and 8,548.06

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Solution

The fourth proportional to 26,077, 39,115.50 and 8,548.06 is: 12,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,077 : 39,115.50 = 8,548.06 : x
  2. Step 2: Convert to fraction form
    26,077/39,115.50 = 8,548.06/x
  3. Step 3: Cross multiply
    26,077x = 39,115.50 × 8,548.06
  4. Step 4: Simplify right side
    26,077x = 334,361,640.93
  5. Step 5: Solve for x
    x = 334,361,640.93/26,077
  6. Step 6: Final answer
    x = 12,822.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.