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Finding the Fourth Proportional to 18,527.11, 27,770.74 and 8,002.10

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Solution

The fourth proportional to 18,527.11, 27,770.74 and 8,002.10 is: 11,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.11 : 27,770.74 = 8,002.10 : x
  2. Step 2: Convert to fraction form
    18,527.11/27,770.74 = 8,002.10/x
  3. Step 3: Cross multiply
    18,527.11x = 27,770.74 × 8,002.10
  4. Step 4: Simplify right side
    18,527.11x = 222,224,238.55
  5. Step 5: Solve for x
    x = 222,224,238.55/18,527.11
  6. Step 6: Final answer
    x = 11,994.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.