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Finding the Fourth Proportional to 15,855.72, 23,767.86 and 8,838.96

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Solution

The fourth proportional to 15,855.72, 23,767.86 and 8,838.96 is: 13,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.72 : 23,767.86 = 8,838.96 : x
  2. Step 2: Convert to fraction form
    15,855.72/23,767.86 = 8,838.96/x
  3. Step 3: Cross multiply
    15,855.72x = 23,767.86 × 8,838.96
  4. Step 4: Simplify right side
    15,855.72x = 210,083,163.83
  5. Step 5: Solve for x
    x = 210,083,163.83/15,855.72
  6. Step 6: Final answer
    x = 13,249.68

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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.