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Finding the Fourth Proportional to 13,513.94, 20,251.62 and 6,099.98

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Solution

The fourth proportional to 13,513.94, 20,251.62 and 6,099.98 is: 9,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.94 : 20,251.62 = 6,099.98 : x
  2. Step 2: Convert to fraction form
    13,513.94/20,251.62 = 6,099.98/x
  3. Step 3: Cross multiply
    13,513.94x = 20,251.62 × 6,099.98
  4. Step 4: Simplify right side
    13,513.94x = 123,534,476.97
  5. Step 5: Solve for x
    x = 123,534,476.97/13,513.94
  6. Step 6: Final answer
    x = 9,141.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.