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Finding the Fourth Proportional to 22,201.24, 33,314.16 and 9,052.58

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Solution

The fourth proportional to 22,201.24, 33,314.16 and 9,052.58 is: 13,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.24 : 33,314.16 = 9,052.58 : x
  2. Step 2: Convert to fraction form
    22,201.24/33,314.16 = 9,052.58/x
  3. Step 3: Cross multiply
    22,201.24x = 33,314.16 × 9,052.58
  4. Step 4: Simplify right side
    22,201.24x = 301,579,098.53
  5. Step 5: Solve for x
    x = 301,579,098.53/22,201.24
  6. Step 6: Final answer
    x = 13,583.89

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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.