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Finding the Fourth Proportional to 22,580.91, 33,872.91 and 6,785.28

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Solution

The fourth proportional to 22,580.91, 33,872.91 and 6,785.28 is: 10,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.91 : 33,872.91 = 6,785.28 : x
  2. Step 2: Convert to fraction form
    22,580.91/33,872.91 = 6,785.28/x
  3. Step 3: Cross multiply
    22,580.91x = 33,872.91 × 6,785.28
  4. Step 4: Simplify right side
    22,580.91x = 229,837,178.76
  5. Step 5: Solve for x
    x = 229,837,178.76/22,580.91
  6. Step 6: Final answer
    x = 10,178.38

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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.