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Finding the Fourth Proportional to 22,548.77, 33,826.22 and 9,398.06

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Solution

The fourth proportional to 22,548.77, 33,826.22 and 9,398.06 is: 14,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.77 : 33,826.22 = 9,398.06 : x
  2. Step 2: Convert to fraction form
    22,548.77/33,826.22 = 9,398.06/x
  3. Step 3: Cross multiply
    22,548.77x = 33,826.22 × 9,398.06
  4. Step 4: Simplify right side
    22,548.77x = 317,900,845.13
  5. Step 5: Solve for x
    x = 317,900,845.13/22,548.77
  6. Step 6: Final answer
    x = 14,098.37

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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.