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Finding the Fourth Proportional to 22,078.42, 33,138.48 and 8,052

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Solution

The fourth proportional to 22,078.42, 33,138.48 and 8,052 is: 12,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.42 : 33,138.48 = 8,052 : x
  2. Step 2: Convert to fraction form
    22,078.42/33,138.48 = 8,052/x
  3. Step 3: Cross multiply
    22,078.42x = 33,138.48 × 8,052
  4. Step 4: Simplify right side
    22,078.42x = 266,831,040.96
  5. Step 5: Solve for x
    x = 266,831,040.96/22,078.42
  6. Step 6: Final answer
    x = 12,085.60

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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.