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Finding the Fourth Proportional to 13,206.92, 18,224.34 and 7,616.84

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Solution

The fourth proportional to 13,206.92, 18,224.34 and 7,616.84 is: 10,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.92 : 18,224.34 = 7,616.84 : x
  2. Step 2: Convert to fraction form
    13,206.92/18,224.34 = 7,616.84/x
  3. Step 3: Cross multiply
    13,206.92x = 18,224.34 × 7,616.84
  4. Step 4: Simplify right side
    13,206.92x = 138,811,881.89
  5. Step 5: Solve for x
    x = 138,811,881.89/13,206.92
  6. Step 6: Final answer
    x = 10,510.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.