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Finding the Fourth Proportional to 12,202.80, 18,305.64 and 4,412.40

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Solution

The fourth proportional to 12,202.80, 18,305.64 and 4,412.40 is: 6,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.80 : 18,305.64 = 4,412.40 : x
  2. Step 2: Convert to fraction form
    12,202.80/18,305.64 = 4,412.40/x
  3. Step 3: Cross multiply
    12,202.80x = 18,305.64 × 4,412.40
  4. Step 4: Simplify right side
    12,202.80x = 80,771,805.94
  5. Step 5: Solve for x
    x = 80,771,805.94/12,202.80
  6. Step 6: Final answer
    x = 6,619.12

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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.