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Finding the Fourth Proportional to 22,535.84, 33,789.36 and 10,825.76

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Solution

The fourth proportional to 22,535.84, 33,789.36 and 10,825.76 is: 16,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.84 : 33,789.36 = 10,825.76 : x
  2. Step 2: Convert to fraction form
    22,535.84/33,789.36 = 10,825.76/x
  3. Step 3: Cross multiply
    22,535.84x = 33,789.36 × 10,825.76
  4. Step 4: Simplify right side
    22,535.84x = 365,795,501.91
  5. Step 5: Solve for x
    x = 365,795,501.91/22,535.84
  6. Step 6: Final answer
    x = 16,231.72

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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.