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Finding the Fourth Proportional to 22,558.24, 33,836.88 and 6,142.24

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Solution

The fourth proportional to 22,558.24, 33,836.88 and 6,142.24 is: 9,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.24 : 33,836.88 = 6,142.24 : x
  2. Step 2: Convert to fraction form
    22,558.24/33,836.88 = 6,142.24/x
  3. Step 3: Cross multiply
    22,558.24x = 33,836.88 × 6,142.24
  4. Step 4: Simplify right side
    22,558.24x = 207,834,237.81
  5. Step 5: Solve for x
    x = 207,834,237.81/22,558.24
  6. Step 6: Final answer
    x = 9,213.23

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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.