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Finding the Fourth Proportional to 13,204.46, 18,222.36 and 7,899.50

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Solution

The fourth proportional to 13,204.46, 18,222.36 and 7,899.50 is: 10,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.46 : 18,222.36 = 7,899.50 : x
  2. Step 2: Convert to fraction form
    13,204.46/18,222.36 = 7,899.50/x
  3. Step 3: Cross multiply
    13,204.46x = 18,222.36 × 7,899.50
  4. Step 4: Simplify right side
    13,204.46x = 143,947,532.82
  5. Step 5: Solve for x
    x = 143,947,532.82/13,204.46
  6. Step 6: Final answer
    x = 10,901.43

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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.