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Finding the Fourth Proportional to 12,202.09, 16,837.85 and 7,424.18

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Solution

The fourth proportional to 12,202.09, 16,837.85 and 7,424.18 is: 10,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.09 : 16,837.85 = 7,424.18 : x
  2. Step 2: Convert to fraction form
    12,202.09/16,837.85 = 7,424.18/x
  3. Step 3: Cross multiply
    12,202.09x = 16,837.85 × 7,424.18
  4. Step 4: Simplify right side
    12,202.09x = 125,007,253.20
  5. Step 5: Solve for x
    x = 125,007,253.20/12,202.09
  6. Step 6: Final answer
    x = 10,244.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.