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Finding the Fourth Proportional to 22,577.68, 33,869.76 and 6,996.52

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Solution

The fourth proportional to 22,577.68, 33,869.76 and 6,996.52 is: 10,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.68 : 33,869.76 = 6,996.52 : x
  2. Step 2: Convert to fraction form
    22,577.68/33,869.76 = 6,996.52/x
  3. Step 3: Cross multiply
    22,577.68x = 33,869.76 × 6,996.52
  4. Step 4: Simplify right side
    22,577.68x = 236,970,453.24
  5. Step 5: Solve for x
    x = 236,970,453.24/22,577.68
  6. Step 6: Final answer
    x = 10,495.78

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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.