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Finding the Fourth Proportional to 12,202.95, 16,840.16 and 6,613.95

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Solution

The fourth proportional to 12,202.95, 16,840.16 and 6,613.95 is: 9,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.95 : 16,840.16 = 6,613.95 : x
  2. Step 2: Convert to fraction form
    12,202.95/16,840.16 = 6,613.95/x
  3. Step 3: Cross multiply
    12,202.95x = 16,840.16 × 6,613.95
  4. Step 4: Simplify right side
    12,202.95x = 111,379,976.23
  5. Step 5: Solve for x
    x = 111,379,976.23/12,202.95
  6. Step 6: Final answer
    x = 9,127.30

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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.