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Finding the Fourth Proportional to 22,984.42, 34,468.10 and 8,189.42

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Solution

The fourth proportional to 22,984.42, 34,468.10 and 8,189.42 is: 12,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.42 : 34,468.10 = 8,189.42 : x
  2. Step 2: Convert to fraction form
    22,984.42/34,468.10 = 8,189.42/x
  3. Step 3: Cross multiply
    22,984.42x = 34,468.10 × 8,189.42
  4. Step 4: Simplify right side
    22,984.42x = 282,273,747.50
  5. Step 5: Solve for x
    x = 282,273,747.50/22,984.42
  6. Step 6: Final answer
    x = 12,281.09

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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.