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Finding the Fourth Proportional to 12,402.29, 18,606.13 and 4,083.14

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Solution

The fourth proportional to 12,402.29, 18,606.13 and 4,083.14 is: 6,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.29 : 18,606.13 = 4,083.14 : x
  2. Step 2: Convert to fraction form
    12,402.29/18,606.13 = 4,083.14/x
  3. Step 3: Cross multiply
    12,402.29x = 18,606.13 × 4,083.14
  4. Step 4: Simplify right side
    12,402.29x = 75,971,469.96
  5. Step 5: Solve for x
    x = 75,971,469.96/12,402.29
  6. Step 6: Final answer
    x = 6,125.60

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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.