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Finding the Fourth Proportional to 22,633.25, 33,950.80 and 10,780.93

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Solution

The fourth proportional to 22,633.25, 33,950.80 and 10,780.93 is: 16,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.25 : 33,950.80 = 10,780.93 : x
  2. Step 2: Convert to fraction form
    22,633.25/33,950.80 = 10,780.93/x
  3. Step 3: Cross multiply
    22,633.25x = 33,950.80 × 10,780.93
  4. Step 4: Simplify right side
    22,633.25x = 366,021,144.34
  5. Step 5: Solve for x
    x = 366,021,144.34/22,633.25
  6. Step 6: Final answer
    x = 16,171.83

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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.