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Finding the Fourth Proportional to 22,580.32, 33,872.24 and 6,784.12

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Solution

The fourth proportional to 22,580.32, 33,872.24 and 6,784.12 is: 10,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.32 : 33,872.24 = 6,784.12 : x
  2. Step 2: Convert to fraction form
    22,580.32/33,872.24 = 6,784.12/x
  3. Step 3: Cross multiply
    22,580.32x = 33,872.24 × 6,784.12
  4. Step 4: Simplify right side
    22,580.32x = 229,793,371.51
  5. Step 5: Solve for x
    x = 229,793,371.51/22,580.32
  6. Step 6: Final answer
    x = 10,176.71

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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.