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Finding the Fourth Proportional to 12,117.70, 18,174.43 and 3,233.14

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Solution

The fourth proportional to 12,117.70, 18,174.43 and 3,233.14 is: 4,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.70 : 18,174.43 = 3,233.14 : x
  2. Step 2: Convert to fraction form
    12,117.70/18,174.43 = 3,233.14/x
  3. Step 3: Cross multiply
    12,117.70x = 18,174.43 × 3,233.14
  4. Step 4: Simplify right side
    12,117.70x = 58,760,476.61
  5. Step 5: Solve for x
    x = 58,760,476.61/12,117.70
  6. Step 6: Final answer
    x = 4,849.14

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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.