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Finding the Fourth Proportional to 22,463.54, 33,701.79 and 9,313.46

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Solution

The fourth proportional to 22,463.54, 33,701.79 and 9,313.46 is: 13,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.54 : 33,701.79 = 9,313.46 : x
  2. Step 2: Convert to fraction form
    22,463.54/33,701.79 = 9,313.46/x
  3. Step 3: Cross multiply
    22,463.54x = 33,701.79 × 9,313.46
  4. Step 4: Simplify right side
    22,463.54x = 313,880,273.09
  5. Step 5: Solve for x
    x = 313,880,273.09/22,463.54
  6. Step 6: Final answer
    x = 13,972.88

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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.