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Finding the Fourth Proportional to 14,847.80, 22,282.98 and 5,496.66

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Solution

The fourth proportional to 14,847.80, 22,282.98 and 5,496.66 is: 8,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.80 : 22,282.98 = 5,496.66 : x
  2. Step 2: Convert to fraction form
    14,847.80/22,282.98 = 5,496.66/x
  3. Step 3: Cross multiply
    14,847.80x = 22,282.98 × 5,496.66
  4. Step 4: Simplify right side
    14,847.80x = 122,481,964.85
  5. Step 5: Solve for x
    x = 122,481,964.85/14,847.80
  6. Step 6: Final answer
    x = 8,249.17

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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.