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Finding the Fourth Proportional to 22,935.15, 34,396.38 and 8,142.12

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Solution

The fourth proportional to 22,935.15, 34,396.38 and 8,142.12 is: 12,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.15 : 34,396.38 = 8,142.12 : x
  2. Step 2: Convert to fraction form
    22,935.15/34,396.38 = 8,142.12/x
  3. Step 3: Cross multiply
    22,935.15x = 34,396.38 × 8,142.12
  4. Step 4: Simplify right side
    22,935.15x = 280,059,453.53
  5. Step 5: Solve for x
    x = 280,059,453.53/22,935.15
  6. Step 6: Final answer
    x = 12,210.93

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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.