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Finding the Fourth Proportional to 22,507.16, 33,749.22 and 11,983.16

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Solution

The fourth proportional to 22,507.16, 33,749.22 and 11,983.16 is: 17,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.16 : 33,749.22 = 11,983.16 : x
  2. Step 2: Convert to fraction form
    22,507.16/33,749.22 = 11,983.16/x
  3. Step 3: Cross multiply
    22,507.16x = 33,749.22 × 11,983.16
  4. Step 4: Simplify right side
    22,507.16x = 404,422,303.14
  5. Step 5: Solve for x
    x = 404,422,303.14/22,507.16
  6. Step 6: Final answer
    x = 17,968.61

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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.