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Finding the Fourth Proportional to 22,077.81, 33,116.79 and 5,438.24

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Solution

The fourth proportional to 22,077.81, 33,116.79 and 5,438.24 is: 8,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.81 : 33,116.79 = 5,438.24 : x
  2. Step 2: Convert to fraction form
    22,077.81/33,116.79 = 5,438.24/x
  3. Step 3: Cross multiply
    22,077.81x = 33,116.79 × 5,438.24
  4. Step 4: Simplify right side
    22,077.81x = 180,096,886.47
  5. Step 5: Solve for x
    x = 180,096,886.47/22,077.81
  6. Step 6: Final answer
    x = 8,157.37

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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.