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Finding the Fourth Proportional to 22,937.06, 34,408.78 and 8,142.48

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Solution

The fourth proportional to 22,937.06, 34,408.78 and 8,142.48 is: 12,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.06 : 34,408.78 = 8,142.48 : x
  2. Step 2: Convert to fraction form
    22,937.06/34,408.78 = 8,142.48/x
  3. Step 3: Cross multiply
    22,937.06x = 34,408.78 × 8,142.48
  4. Step 4: Simplify right side
    22,937.06x = 280,172,802.97
  5. Step 5: Solve for x
    x = 280,172,802.97/22,937.06
  6. Step 6: Final answer
    x = 12,214.85

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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.