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Finding the Fourth Proportional to 13,224.92, 19,846.97 and 4,906.13

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Solution

The fourth proportional to 13,224.92, 19,846.97 and 4,906.13 is: 7,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.92 : 19,846.97 = 4,906.13 : x
  2. Step 2: Convert to fraction form
    13,224.92/19,846.97 = 4,906.13/x
  3. Step 3: Cross multiply
    13,224.92x = 19,846.97 × 4,906.13
  4. Step 4: Simplify right side
    13,224.92x = 97,371,727.96
  5. Step 5: Solve for x
    x = 97,371,727.96/13,224.92
  6. Step 6: Final answer
    x = 7,362.74

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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.