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Finding the Fourth Proportional to 22,586.81, 33,884.75 and 7,796.30

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Solution

The fourth proportional to 22,586.81, 33,884.75 and 7,796.30 is: 11,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.81 : 33,884.75 = 7,796.30 : x
  2. Step 2: Convert to fraction form
    22,586.81/33,884.75 = 7,796.30/x
  3. Step 3: Cross multiply
    22,586.81x = 33,884.75 × 7,796.30
  4. Step 4: Simplify right side
    22,586.81x = 264,175,526.49
  5. Step 5: Solve for x
    x = 264,175,526.49/22,586.81
  6. Step 6: Final answer
    x = 11,696.01

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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.