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Finding the Fourth Proportional to 22,357.14, 33,542.73 and 9,215.70

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Solution

The fourth proportional to 22,357.14, 33,542.73 and 9,215.70 is: 13,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.14 : 33,542.73 = 9,215.70 : x
  2. Step 2: Convert to fraction form
    22,357.14/33,542.73 = 9,215.70/x
  3. Step 3: Cross multiply
    22,357.14x = 33,542.73 × 9,215.70
  4. Step 4: Simplify right side
    22,357.14x = 309,119,736.86
  5. Step 5: Solve for x
    x = 309,119,736.86/22,357.14
  6. Step 6: Final answer
    x = 13,826.44

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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.