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Finding the Fourth Proportional to 12,442.54, 17,171.08 and 6,777.66

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Solution

The fourth proportional to 12,442.54, 17,171.08 and 6,777.66 is: 9,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.54 : 17,171.08 = 6,777.66 : x
  2. Step 2: Convert to fraction form
    12,442.54/17,171.08 = 6,777.66/x
  3. Step 3: Cross multiply
    12,442.54x = 17,171.08 × 6,777.66
  4. Step 4: Simplify right side
    12,442.54x = 116,379,742.07
  5. Step 5: Solve for x
    x = 116,379,742.07/12,442.54
  6. Step 6: Final answer
    x = 9,353.37

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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.