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Finding the Fourth Proportional to 22,628.19, 33,942.68 and 7,837.59

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Solution

The fourth proportional to 22,628.19, 33,942.68 and 7,837.59 is: 11,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.19 : 33,942.68 = 7,837.59 : x
  2. Step 2: Convert to fraction form
    22,628.19/33,942.68 = 7,837.59/x
  3. Step 3: Cross multiply
    22,628.19x = 33,942.68 × 7,837.59
  4. Step 4: Simplify right side
    22,628.19x = 266,028,926.83
  5. Step 5: Solve for x
    x = 266,028,926.83/22,628.19
  6. Step 6: Final answer
    x = 11,756.53

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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.