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Finding the Fourth Proportional to 22,460.39, 33,694.64 and 9,313.82

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Solution

The fourth proportional to 22,460.39, 33,694.64 and 9,313.82 is: 13,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,460.39 : 33,694.64 = 9,313.82 : x
  2. Step 2: Convert to fraction form
    22,460.39/33,694.64 = 9,313.82/x
  3. Step 3: Cross multiply
    22,460.39x = 33,694.64 × 9,313.82
  4. Step 4: Simplify right side
    22,460.39x = 313,825,811.92
  5. Step 5: Solve for x
    x = 313,825,811.92/22,460.39
  6. Step 6: Final answer
    x = 13,972.41

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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.