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Finding the Fourth Proportional to 22,007.88, 30,367.80 and 12,446.16

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Solution

The fourth proportional to 22,007.88, 30,367.80 and 12,446.16 is: 17,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.88 : 30,367.80 = 12,446.16 : x
  2. Step 2: Convert to fraction form
    22,007.88/30,367.80 = 12,446.16/x
  3. Step 3: Cross multiply
    22,007.88x = 30,367.80 × 12,446.16
  4. Step 4: Simplify right side
    22,007.88x = 377,962,497.65
  5. Step 5: Solve for x
    x = 377,962,497.65/22,007.88
  6. Step 6: Final answer
    x = 17,173.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.