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Finding the Fourth Proportional to 12,151, 18,230.01 and 3,832.17

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Solution

The fourth proportional to 12,151, 18,230.01 and 3,832.17 is: 5,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151 : 18,230.01 = 3,832.17 : x
  2. Step 2: Convert to fraction form
    12,151/18,230.01 = 3,832.17/x
  3. Step 3: Cross multiply
    12,151x = 18,230.01 × 3,832.17
  4. Step 4: Simplify right side
    12,151x = 69,860,497.42
  5. Step 5: Solve for x
    x = 69,860,497.42/12,151
  6. Step 6: Final answer
    x = 5,749.36

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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.