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Finding the Fourth Proportional to 22,516.68, 33,778.82 and 7,722.03

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Solution

The fourth proportional to 22,516.68, 33,778.82 and 7,722.03 is: 11,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.68 : 33,778.82 = 7,722.03 : x
  2. Step 2: Convert to fraction form
    22,516.68/33,778.82 = 7,722.03/x
  3. Step 3: Cross multiply
    22,516.68x = 33,778.82 × 7,722.03
  4. Step 4: Simplify right side
    22,516.68x = 260,841,207.38
  5. Step 5: Solve for x
    x = 260,841,207.38/22,516.68
  6. Step 6: Final answer
    x = 11,584.35

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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.