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Finding the Fourth Proportional to 22,002, 33,005.74 and 7,212.42

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Solution

The fourth proportional to 22,002, 33,005.74 and 7,212.42 is: 10,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 33,005.74 = 7,212.42 : x
  2. Step 2: Convert to fraction form
    22,002/33,005.74 = 7,212.42/x
  3. Step 3: Cross multiply
    22,002x = 33,005.74 × 7,212.42
  4. Step 4: Simplify right side
    22,002x = 238,051,259.29
  5. Step 5: Solve for x
    x = 238,051,259.29/22,002
  6. Step 6: Final answer
    x = 10,819.53

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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.