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Finding the Fourth Proportional to 26,475, 39,704.09 and 8,701.56

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Solution

The fourth proportional to 26,475, 39,704.09 and 8,701.56 is: 13,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,475 : 39,704.09 = 8,701.56 : x
  2. Step 2: Convert to fraction form
    26,475/39,704.09 = 8,701.56/x
  3. Step 3: Cross multiply
    26,475x = 39,704.09 × 8,701.56
  4. Step 4: Simplify right side
    26,475x = 345,487,477.87
  5. Step 5: Solve for x
    x = 345,487,477.87/26,475
  6. Step 6: Final answer
    x = 13,049.57

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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.