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Finding the Fourth Proportional to 22,678, 34,011.52 and 9,530.56

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Solution

The fourth proportional to 22,678, 34,011.52 and 9,530.56 is: 14,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678 : 34,011.52 = 9,530.56 : x
  2. Step 2: Convert to fraction form
    22,678/34,011.52 = 9,530.56/x
  3. Step 3: Cross multiply
    22,678x = 34,011.52 × 9,530.56
  4. Step 4: Simplify right side
    22,678x = 324,148,832.05
  5. Step 5: Solve for x
    x = 324,148,832.05/22,678
  6. Step 6: Final answer
    x = 14,293.54

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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.