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Finding the Fourth Proportional to 22,358.20, 33,538.67 and 9,206.13

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Solution

The fourth proportional to 22,358.20, 33,538.67 and 9,206.13 is: 13,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.20 : 33,538.67 = 9,206.13 : x
  2. Step 2: Convert to fraction form
    22,358.20/33,538.67 = 9,206.13/x
  3. Step 3: Cross multiply
    22,358.20x = 33,538.67 × 9,206.13
  4. Step 4: Simplify right side
    22,358.20x = 308,761,356.05
  5. Step 5: Solve for x
    x = 308,761,356.05/22,358.20
  6. Step 6: Final answer
    x = 13,809.76

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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.