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Finding the Fourth Proportional to 22,457.68, 33,691.44 and 6,876.52

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Solution

The fourth proportional to 22,457.68, 33,691.44 and 6,876.52 is: 10,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.68 : 33,691.44 = 6,876.52 : x
  2. Step 2: Convert to fraction form
    22,457.68/33,691.44 = 6,876.52/x
  3. Step 3: Cross multiply
    22,457.68x = 33,691.44 × 6,876.52
  4. Step 4: Simplify right side
    22,457.68x = 231,679,860.99
  5. Step 5: Solve for x
    x = 231,679,860.99/22,457.68
  6. Step 6: Final answer
    x = 10,316.29

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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.