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Finding the Fourth Proportional to 22,382.52, 30,889.26 and 12,446.52

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Solution

The fourth proportional to 22,382.52, 30,889.26 and 12,446.52 is: 17,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.52 : 30,889.26 = 12,446.52 : x
  2. Step 2: Convert to fraction form
    22,382.52/30,889.26 = 12,446.52/x
  3. Step 3: Cross multiply
    22,382.52x = 30,889.26 × 12,446.52
  4. Step 4: Simplify right side
    22,382.52x = 384,463,792.38
  5. Step 5: Solve for x
    x = 384,463,792.38/22,382.52
  6. Step 6: Final answer
    x = 17,176.97

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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.