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Finding the Fourth Proportional to 26,507.61, 39,753.48 and 8,734.98

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Solution

The fourth proportional to 26,507.61, 39,753.48 and 8,734.98 is: 13,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.61 : 39,753.48 = 8,734.98 : x
  2. Step 2: Convert to fraction form
    26,507.61/39,753.48 = 8,734.98/x
  3. Step 3: Cross multiply
    26,507.61x = 39,753.48 × 8,734.98
  4. Step 4: Simplify right side
    26,507.61x = 347,245,852.73
  5. Step 5: Solve for x
    x = 347,245,852.73/26,507.61
  6. Step 6: Final answer
    x = 13,099.86

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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.