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Finding the Fourth Proportional to 22,562.82, 33,859.26 and 10,078.68

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Solution

The fourth proportional to 22,562.82, 33,859.26 and 10,078.68 is: 15,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.82 : 33,859.26 = 10,078.68 : x
  2. Step 2: Convert to fraction form
    22,562.82/33,859.26 = 10,078.68/x
  3. Step 3: Cross multiply
    22,562.82x = 33,859.26 × 10,078.68
  4. Step 4: Simplify right side
    22,562.82x = 341,256,646.58
  5. Step 5: Solve for x
    x = 341,256,646.58/22,562.82
  6. Step 6: Final answer
    x = 15,124.73

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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.