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Finding the Fourth Proportional to 14,772.65, 22,163.16 and 6,013.85

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Solution

The fourth proportional to 14,772.65, 22,163.16 and 6,013.85 is: 9,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.65 : 22,163.16 = 6,013.85 : x
  2. Step 2: Convert to fraction form
    14,772.65/22,163.16 = 6,013.85/x
  3. Step 3: Cross multiply
    14,772.65x = 22,163.16 × 6,013.85
  4. Step 4: Simplify right side
    14,772.65x = 133,285,919.77
  5. Step 5: Solve for x
    x = 133,285,919.77/14,772.65
  6. Step 6: Final answer
    x = 9,022.48

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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.