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Finding the Fourth Proportional to 22,334.08, 33,504.78 and 8,294.14

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Solution

The fourth proportional to 22,334.08, 33,504.78 and 8,294.14 is: 12,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,334.08 : 33,504.78 = 8,294.14 : x
  2. Step 2: Convert to fraction form
    22,334.08/33,504.78 = 8,294.14/x
  3. Step 3: Cross multiply
    22,334.08x = 33,504.78 × 8,294.14
  4. Step 4: Simplify right side
    22,334.08x = 277,893,335.99
  5. Step 5: Solve for x
    x = 277,893,335.99/22,334.08
  6. Step 6: Final answer
    x = 12,442.57

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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.