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Finding the Fourth Proportional to 22,314.78, 33,471.36 and 6,732

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Solution

The fourth proportional to 22,314.78, 33,471.36 and 6,732 is: 10,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.78 : 33,471.36 = 6,732 : x
  2. Step 2: Convert to fraction form
    22,314.78/33,471.36 = 6,732/x
  3. Step 3: Cross multiply
    22,314.78x = 33,471.36 × 6,732
  4. Step 4: Simplify right side
    22,314.78x = 225,329,195.52
  5. Step 5: Solve for x
    x = 225,329,195.52/22,314.78
  6. Step 6: Final answer
    x = 10,097.76

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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.