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Finding the Fourth Proportional to 13,205.12, 18,222.96 and 7,616

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Solution

The fourth proportional to 13,205.12, 18,222.96 and 7,616 is: 10,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.12 : 18,222.96 = 7,616 : x
  2. Step 2: Convert to fraction form
    13,205.12/18,222.96 = 7,616/x
  3. Step 3: Cross multiply
    13,205.12x = 18,222.96 × 7,616
  4. Step 4: Simplify right side
    13,205.12x = 138,786,063.36
  5. Step 5: Solve for x
    x = 138,786,063.36/13,205.12
  6. Step 6: Final answer
    x = 10,510.02

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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.