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Finding the Fourth Proportional to 22,633.44, 33,950.58 and 7,842.84

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Solution

The fourth proportional to 22,633.44, 33,950.58 and 7,842.84 is: 11,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.44 : 33,950.58 = 7,842.84 : x
  2. Step 2: Convert to fraction form
    22,633.44/33,950.58 = 7,842.84/x
  3. Step 3: Cross multiply
    22,633.44x = 33,950.58 × 7,842.84
  4. Step 4: Simplify right side
    22,633.44x = 266,268,966.85
  5. Step 5: Solve for x
    x = 266,268,966.85/22,633.44
  6. Step 6: Final answer
    x = 11,764.41

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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.