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Finding the Fourth Proportional to 12,202.62, 16,840.44 and 6,895.50

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Solution

The fourth proportional to 12,202.62, 16,840.44 and 6,895.50 is: 9,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.62 : 16,840.44 = 6,895.50 : x
  2. Step 2: Convert to fraction form
    12,202.62/16,840.44 = 6,895.50/x
  3. Step 3: Cross multiply
    12,202.62x = 16,840.44 × 6,895.50
  4. Step 4: Simplify right side
    12,202.62x = 116,123,254.02
  5. Step 5: Solve for x
    x = 116,123,254.02/12,202.62
  6. Step 6: Final answer
    x = 9,516.26

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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.