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Finding the Fourth Proportional to 12,221.36, 18,322.32 and 5,291

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Solution

The fourth proportional to 12,221.36, 18,322.32 and 5,291 is: 7,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.36 : 18,322.32 = 5,291 : x
  2. Step 2: Convert to fraction form
    12,221.36/18,322.32 = 5,291/x
  3. Step 3: Cross multiply
    12,221.36x = 18,322.32 × 5,291
  4. Step 4: Simplify right side
    12,221.36x = 96,943,395.12
  5. Step 5: Solve for x
    x = 96,943,395.12/12,221.36
  6. Step 6: Final answer
    x = 7,932.29

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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.