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Finding the Fourth Proportional to 12,274.29, 18,398.83 and 6,998.51

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Solution

The fourth proportional to 12,274.29, 18,398.83 and 6,998.51 is: 10,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.29 : 18,398.83 = 6,998.51 : x
  2. Step 2: Convert to fraction form
    12,274.29/18,398.83 = 6,998.51/x
  3. Step 3: Cross multiply
    12,274.29x = 18,398.83 × 6,998.51
  4. Step 4: Simplify right side
    12,274.29x = 128,764,413.24
  5. Step 5: Solve for x
    x = 128,764,413.24/12,274.29
  6. Step 6: Final answer
    x = 10,490.58

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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.