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Finding the Fourth Proportional to 22,538.15, 33,809.04 and 7,747.07

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Solution

The fourth proportional to 22,538.15, 33,809.04 and 7,747.07 is: 11,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.15 : 33,809.04 = 7,747.07 : x
  2. Step 2: Convert to fraction form
    22,538.15/33,809.04 = 7,747.07/x
  3. Step 3: Cross multiply
    22,538.15x = 33,809.04 × 7,747.07
  4. Step 4: Simplify right side
    22,538.15x = 261,920,960.78
  5. Step 5: Solve for x
    x = 261,920,960.78/22,538.15
  6. Step 6: Final answer
    x = 11,621.23

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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.