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Finding the Fourth Proportional to 22,633.68, 33,938.10 and 7,841.28

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Solution

The fourth proportional to 22,633.68, 33,938.10 and 7,841.28 is: 11,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.68 : 33,938.10 = 7,841.28 : x
  2. Step 2: Convert to fraction form
    22,633.68/33,938.10 = 7,841.28/x
  3. Step 3: Cross multiply
    22,633.68x = 33,938.10 × 7,841.28
  4. Step 4: Simplify right side
    22,633.68x = 266,118,144.77
  5. Step 5: Solve for x
    x = 266,118,144.77/22,633.68
  6. Step 6: Final answer
    x = 11,757.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.