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Finding the Fourth Proportional to 12,270.74, 18,396.35 and 5,340.38

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Solution

The fourth proportional to 12,270.74, 18,396.35 and 5,340.38 is: 8,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.74 : 18,396.35 = 5,340.38 : x
  2. Step 2: Convert to fraction form
    12,270.74/18,396.35 = 5,340.38/x
  3. Step 3: Cross multiply
    12,270.74x = 18,396.35 × 5,340.38
  4. Step 4: Simplify right side
    12,270.74x = 98,243,380.93
  5. Step 5: Solve for x
    x = 98,243,380.93/12,270.74
  6. Step 6: Final answer
    x = 8,006.32

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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.