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Finding the Fourth Proportional to 24,487.78, 36,727.99 and 7,846.06

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Solution

The fourth proportional to 24,487.78, 36,727.99 and 7,846.06 is: 11,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487.78 : 36,727.99 = 7,846.06 : x
  2. Step 2: Convert to fraction form
    24,487.78/36,727.99 = 7,846.06/x
  3. Step 3: Cross multiply
    24,487.78x = 36,727.99 × 7,846.06
  4. Step 4: Simplify right side
    24,487.78x = 288,170,013.22
  5. Step 5: Solve for x
    x = 288,170,013.22/24,487.78
  6. Step 6: Final answer
    x = 11,767.91

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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.