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Finding the Fourth Proportional to 18,527.23, 27,770.93 and 8,002.23

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Solution

The fourth proportional to 18,527.23, 27,770.93 and 8,002.23 is: 11,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.23 : 27,770.93 = 8,002.23 : x
  2. Step 2: Convert to fraction form
    18,527.23/27,770.93 = 8,002.23/x
  3. Step 3: Cross multiply
    18,527.23x = 27,770.93 × 8,002.23
  4. Step 4: Simplify right side
    18,527.23x = 222,229,369.17
  5. Step 5: Solve for x
    x = 222,229,369.17/18,527.23
  6. Step 6: Final answer
    x = 11,994.74

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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.