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Finding the Fourth Proportional to 18,003.72, 27,002.47 and 8,140.71

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Solution

The fourth proportional to 18,003.72, 27,002.47 and 8,140.71 is: 12,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,003.72 : 27,002.47 = 8,140.71 : x
  2. Step 2: Convert to fraction form
    18,003.72/27,002.47 = 8,140.71/x
  3. Step 3: Cross multiply
    18,003.72x = 27,002.47 × 8,140.71
  4. Step 4: Simplify right side
    18,003.72x = 219,819,277.55
  5. Step 5: Solve for x
    x = 219,819,277.55/18,003.72
  6. Step 6: Final answer
    x = 12,209.66

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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.