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Finding the Fourth Proportional to 22,562.24, 33,836.04 and 7,767.52

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Solution

The fourth proportional to 22,562.24, 33,836.04 and 7,767.52 is: 11,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.24 : 33,836.04 = 7,767.52 : x
  2. Step 2: Convert to fraction form
    22,562.24/33,836.04 = 7,767.52/x
  3. Step 3: Cross multiply
    22,562.24x = 33,836.04 × 7,767.52
  4. Step 4: Simplify right side
    22,562.24x = 262,822,117.42
  5. Step 5: Solve for x
    x = 262,822,117.42/22,562.24
  6. Step 6: Final answer
    x = 11,648.76

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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.