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Finding the Fourth Proportional to 13,204.84, 18,222.46 and 7,896.64

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Solution

The fourth proportional to 13,204.84, 18,222.46 and 7,896.64 is: 10,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.84 : 18,222.46 = 7,896.64 : x
  2. Step 2: Convert to fraction form
    13,204.84/18,222.46 = 7,896.64/x
  3. Step 3: Cross multiply
    13,204.84x = 18,222.46 × 7,896.64
  4. Step 4: Simplify right side
    13,204.84x = 143,896,206.53
  5. Step 5: Solve for x
    x = 143,896,206.53/13,204.84
  6. Step 6: Final answer
    x = 10,897.23

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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.