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Finding the Fourth Proportional to 12,092.92, 18,146.70 and 4,301.14

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Solution

The fourth proportional to 12,092.92, 18,146.70 and 4,301.14 is: 6,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.92 : 18,146.70 = 4,301.14 : x
  2. Step 2: Convert to fraction form
    12,092.92/18,146.70 = 4,301.14/x
  3. Step 3: Cross multiply
    12,092.92x = 18,146.70 × 4,301.14
  4. Step 4: Simplify right side
    12,092.92x = 78,051,497.24
  5. Step 5: Solve for x
    x = 78,051,497.24/12,092.92
  6. Step 6: Final answer
    x = 6,454.31

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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.