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Finding the Fourth Proportional to 22,584.42, 33,881.49 and 7,002.05

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Solution

The fourth proportional to 22,584.42, 33,881.49 and 7,002.05 is: 10,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.42 : 33,881.49 = 7,002.05 : x
  2. Step 2: Convert to fraction form
    22,584.42/33,881.49 = 7,002.05/x
  3. Step 3: Cross multiply
    22,584.42x = 33,881.49 × 7,002.05
  4. Step 4: Simplify right side
    22,584.42x = 237,239,717.65
  5. Step 5: Solve for x
    x = 237,239,717.65/22,584.42
  6. Step 6: Final answer
    x = 10,504.57

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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.