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Finding the Fourth Proportional to 22,568.77, 33,856.30 and 9,418.12

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Solution

The fourth proportional to 22,568.77, 33,856.30 and 9,418.12 is: 14,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.77 : 33,856.30 = 9,418.12 : x
  2. Step 2: Convert to fraction form
    22,568.77/33,856.30 = 9,418.12/x
  3. Step 3: Cross multiply
    22,568.77x = 33,856.30 × 9,418.12
  4. Step 4: Simplify right side
    22,568.77x = 318,862,757.25
  5. Step 5: Solve for x
    x = 318,862,757.25/22,568.77
  6. Step 6: Final answer
    x = 14,128.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.