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Finding the Fourth Proportional to 13,553.16, 18,696.33 and 9,567.96

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Solution

The fourth proportional to 13,553.16, 18,696.33 and 9,567.96 is: 13,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.16 : 18,696.33 = 9,567.96 : x
  2. Step 2: Convert to fraction form
    13,553.16/18,696.33 = 9,567.96/x
  3. Step 3: Cross multiply
    13,553.16x = 18,696.33 × 9,567.96
  4. Step 4: Simplify right side
    13,553.16x = 178,885,737.59
  5. Step 5: Solve for x
    x = 178,885,737.59/13,553.16
  6. Step 6: Final answer
    x = 13,198.82

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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.