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Finding the Fourth Proportional to 13,402.74, 20,098.22 and 5,906.12

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Solution

The fourth proportional to 13,402.74, 20,098.22 and 5,906.12 is: 8,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.74 : 20,098.22 = 5,906.12 : x
  2. Step 2: Convert to fraction form
    13,402.74/20,098.22 = 5,906.12/x
  3. Step 3: Cross multiply
    13,402.74x = 20,098.22 × 5,906.12
  4. Step 4: Simplify right side
    13,402.74x = 118,702,499.11
  5. Step 5: Solve for x
    x = 118,702,499.11/13,402.74
  6. Step 6: Final answer
    x = 8,856.58

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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.