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Finding the Fourth Proportional to 22,628.30, 33,934.34 and 7,833.24

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Solution

The fourth proportional to 22,628.30, 33,934.34 and 7,833.24 is: 11,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.30 : 33,934.34 = 7,833.24 : x
  2. Step 2: Convert to fraction form
    22,628.30/33,934.34 = 7,833.24/x
  3. Step 3: Cross multiply
    22,628.30x = 33,934.34 × 7,833.24
  4. Step 4: Simplify right side
    22,628.30x = 265,815,849.04
  5. Step 5: Solve for x
    x = 265,815,849.04/22,628.30
  6. Step 6: Final answer
    x = 11,747.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.