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Finding the Fourth Proportional to 13,496.67, 20,246.02 and 6,105.29

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Solution

The fourth proportional to 13,496.67, 20,246.02 and 6,105.29 is: 9,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.67 : 20,246.02 = 6,105.29 : x
  2. Step 2: Convert to fraction form
    13,496.67/20,246.02 = 6,105.29/x
  3. Step 3: Cross multiply
    13,496.67x = 20,246.02 × 6,105.29
  4. Step 4: Simplify right side
    13,496.67x = 123,607,706.95
  5. Step 5: Solve for x
    x = 123,607,706.95/13,496.67
  6. Step 6: Final answer
    x = 9,158.39

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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.