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Finding the Fourth Proportional to 22,525.83, 33,765.69 and 11,398.80

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Solution

The fourth proportional to 22,525.83, 33,765.69 and 11,398.80 is: 17,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.83 : 33,765.69 = 11,398.80 : x
  2. Step 2: Convert to fraction form
    22,525.83/33,765.69 = 11,398.80/x
  3. Step 3: Cross multiply
    22,525.83x = 33,765.69 × 11,398.80
  4. Step 4: Simplify right side
    22,525.83x = 384,888,347.17
  5. Step 5: Solve for x
    x = 384,888,347.17/22,525.83
  6. Step 6: Final answer
    x = 17,086.53

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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.