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Finding the Fourth Proportional to 22,394, 33,568.32 and 9,253.64

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Solution

The fourth proportional to 22,394, 33,568.32 and 9,253.64 is: 13,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 33,568.32 = 9,253.64 : x
  2. Step 2: Convert to fraction form
    22,394/33,568.32 = 9,253.64/x
  3. Step 3: Cross multiply
    22,394x = 33,568.32 × 9,253.64
  4. Step 4: Simplify right side
    22,394x = 310,629,148.68
  5. Step 5: Solve for x
    x = 310,629,148.68/22,394
  6. Step 6: Final answer
    x = 13,871.09

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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.