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Finding the Fourth Proportional to 18,184.82, 27,277.03 and 4,857.80

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Solution

The fourth proportional to 18,184.82, 27,277.03 and 4,857.80 is: 7,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,184.82 : 27,277.03 = 4,857.80 : x
  2. Step 2: Convert to fraction form
    18,184.82/27,277.03 = 4,857.80/x
  3. Step 3: Cross multiply
    18,184.82x = 27,277.03 × 4,857.80
  4. Step 4: Simplify right side
    18,184.82x = 132,506,332.05
  5. Step 5: Solve for x
    x = 132,506,332.05/18,184.82
  6. Step 6: Final answer
    x = 7,286.65

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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.