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Finding the Fourth Proportional to 13,515.66, 20,267.42 and 6,499.04

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Solution

The fourth proportional to 13,515.66, 20,267.42 and 6,499.04 is: 9,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.66 : 20,267.42 = 6,499.04 : x
  2. Step 2: Convert to fraction form
    13,515.66/20,267.42 = 6,499.04/x
  3. Step 3: Cross multiply
    13,515.66x = 20,267.42 × 6,499.04
  4. Step 4: Simplify right side
    13,515.66x = 131,718,639.44
  5. Step 5: Solve for x
    x = 131,718,639.44/13,515.66
  6. Step 6: Final answer
    x = 9,745.63

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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.