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Finding the Fourth Proportional to 13,484.74, 20,218.32 and 6,464.56

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Solution

The fourth proportional to 13,484.74, 20,218.32 and 6,464.56 is: 9,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.74 : 20,218.32 = 6,464.56 : x
  2. Step 2: Convert to fraction form
    13,484.74/20,218.32 = 6,464.56/x
  3. Step 3: Cross multiply
    13,484.74x = 20,218.32 × 6,464.56
  4. Step 4: Simplify right side
    13,484.74x = 130,702,542.74
  5. Step 5: Solve for x
    x = 130,702,542.74/13,484.74
  6. Step 6: Final answer
    x = 9,692.63

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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.