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Finding the Fourth Proportional to 22,935.12, 34,406.12 and 8,142.81

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Solution

The fourth proportional to 22,935.12, 34,406.12 and 8,142.81 is: 12,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.12 : 34,406.12 = 8,142.81 : x
  2. Step 2: Convert to fraction form
    22,935.12/34,406.12 = 8,142.81/x
  3. Step 3: Cross multiply
    22,935.12x = 34,406.12 × 8,142.81
  4. Step 4: Simplify right side
    22,935.12x = 280,162,498.00
  5. Step 5: Solve for x
    x = 280,162,498.00/22,935.12
  6. Step 6: Final answer
    x = 12,215.44

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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.