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Finding the Fourth Proportional to 22,600.12, 33,894.78 and 7,809.56

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Solution

The fourth proportional to 22,600.12, 33,894.78 and 7,809.56 is: 11,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600.12 : 33,894.78 = 7,809.56 : x
  2. Step 2: Convert to fraction form
    22,600.12/33,894.78 = 7,809.56/x
  3. Step 3: Cross multiply
    22,600.12x = 33,894.78 × 7,809.56
  4. Step 4: Simplify right side
    22,600.12x = 264,703,318.10
  5. Step 5: Solve for x
    x = 264,703,318.10/22,600.12
  6. Step 6: Final answer
    x = 11,712.47

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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.