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Finding the Fourth Proportional to 22,536.32, 33,786.12 and 9,398.48

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Solution

The fourth proportional to 22,536.32, 33,786.12 and 9,398.48 is: 14,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.32 : 33,786.12 = 9,398.48 : x
  2. Step 2: Convert to fraction form
    22,536.32/33,786.12 = 9,398.48/x
  3. Step 3: Cross multiply
    22,536.32x = 33,786.12 × 9,398.48
  4. Step 4: Simplify right side
    22,536.32x = 317,538,173.10
  5. Step 5: Solve for x
    x = 317,538,173.10/22,536.32
  6. Step 6: Final answer
    x = 14,090.06

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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.