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Finding the Fourth Proportional to 22,155.21, 33,237.76 and 8,114.94

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Solution

The fourth proportional to 22,155.21, 33,237.76 and 8,114.94 is: 12,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,155.21 : 33,237.76 = 8,114.94 : x
  2. Step 2: Convert to fraction form
    22,155.21/33,237.76 = 8,114.94/x
  3. Step 3: Cross multiply
    22,155.21x = 33,237.76 × 8,114.94
  4. Step 4: Simplify right side
    22,155.21x = 269,722,423.06
  5. Step 5: Solve for x
    x = 269,722,423.06/22,155.21
  6. Step 6: Final answer
    x = 12,174.22

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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.