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Finding the Fourth Proportional to 8,227.76, 12,342.24 and 2,384.40

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Solution

The fourth proportional to 8,227.76, 12,342.24 and 2,384.40 is: 3,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.76 : 12,342.24 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    8,227.76/12,342.24 = 2,384.40/x
  3. Step 3: Cross multiply
    8,227.76x = 12,342.24 × 2,384.40
  4. Step 4: Simplify right side
    8,227.76x = 29,428,837.06
  5. Step 5: Solve for x
    x = 29,428,837.06/8,227.76
  6. Step 6: Final answer
    x = 3,576.77

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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.