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Finding the Fourth Proportional to 20,218.62, 30,327.93 and 6,178.08

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Solution

The fourth proportional to 20,218.62, 30,327.93 and 6,178.08 is: 9,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.62 : 30,327.93 = 6,178.08 : x
  2. Step 2: Convert to fraction form
    20,218.62/30,327.93 = 6,178.08/x
  3. Step 3: Cross multiply
    20,218.62x = 30,327.93 × 6,178.08
  4. Step 4: Simplify right side
    20,218.62x = 187,368,377.77
  5. Step 5: Solve for x
    x = 187,368,377.77/20,218.62
  6. Step 6: Final answer
    x = 9,267.12

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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.