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Finding the Fourth Proportional to 12,211.84, 18,304.29 and 7,990.02

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Solution

The fourth proportional to 12,211.84, 18,304.29 and 7,990.02 is: 11,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.84 : 18,304.29 = 7,990.02 : x
  2. Step 2: Convert to fraction form
    12,211.84/18,304.29 = 7,990.02/x
  3. Step 3: Cross multiply
    12,211.84x = 18,304.29 × 7,990.02
  4. Step 4: Simplify right side
    12,211.84x = 146,251,643.19
  5. Step 5: Solve for x
    x = 146,251,643.19/12,211.84
  6. Step 6: Final answer
    x = 11,976.22

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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.