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Finding the Fourth Proportional to 13,519.14, 20,266.96 and 6,495.63

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Solution

The fourth proportional to 13,519.14, 20,266.96 and 6,495.63 is: 9,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.14 : 20,266.96 = 6,495.63 : x
  2. Step 2: Convert to fraction form
    13,519.14/20,266.96 = 6,495.63/x
  3. Step 3: Cross multiply
    13,519.14x = 20,266.96 × 6,495.63
  4. Step 4: Simplify right side
    13,519.14x = 131,646,640.91
  5. Step 5: Solve for x
    x = 131,646,640.91/13,519.14
  6. Step 6: Final answer
    x = 9,737.80

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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.