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Finding the Fourth Proportional to 22,182.42, 30,611.86 and 12,111.10

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Solution

The fourth proportional to 22,182.42, 30,611.86 and 12,111.10 is: 16,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.42 : 30,611.86 = 12,111.10 : x
  2. Step 2: Convert to fraction form
    22,182.42/30,611.86 = 12,111.10/x
  3. Step 3: Cross multiply
    22,182.42x = 30,611.86 × 12,111.10
  4. Step 4: Simplify right side
    22,182.42x = 370,743,297.65
  5. Step 5: Solve for x
    x = 370,743,297.65/22,182.42
  6. Step 6: Final answer
    x = 16,713.38

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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.