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Finding the Fourth Proportional to 12,228.77, 18,343.16 and 6,384.02

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Solution

The fourth proportional to 12,228.77, 18,343.16 and 6,384.02 is: 9,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.77 : 18,343.16 = 6,384.02 : x
  2. Step 2: Convert to fraction form
    12,228.77/18,343.16 = 6,384.02/x
  3. Step 3: Cross multiply
    12,228.77x = 18,343.16 × 6,384.02
  4. Step 4: Simplify right side
    12,228.77x = 117,103,000.61
  5. Step 5: Solve for x
    x = 117,103,000.61/12,228.77
  6. Step 6: Final answer
    x = 9,576.02

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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.