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Finding the Fourth Proportional to 13,642.66, 20,464.38 and 5,322.34

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Solution

The fourth proportional to 13,642.66, 20,464.38 and 5,322.34 is: 7,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.66 : 20,464.38 = 5,322.34 : x
  2. Step 2: Convert to fraction form
    13,642.66/20,464.38 = 5,322.34/x
  3. Step 3: Cross multiply
    13,642.66x = 20,464.38 × 5,322.34
  4. Step 4: Simplify right side
    13,642.66x = 108,918,388.25
  5. Step 5: Solve for x
    x = 108,918,388.25/13,642.66
  6. Step 6: Final answer
    x = 7,983.66

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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.