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Finding the Fourth Proportional to 24,775.76, 34,171.44 and 17,221.94

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Solution

The fourth proportional to 24,775.76, 34,171.44 and 17,221.94 is: 23,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.76 : 34,171.44 = 17,221.94 : x
  2. Step 2: Convert to fraction form
    24,775.76/34,171.44 = 17,221.94/x
  3. Step 3: Cross multiply
    24,775.76x = 34,171.44 × 17,221.94
  4. Step 4: Simplify right side
    24,775.76x = 588,498,489.39
  5. Step 5: Solve for x
    x = 588,498,489.39/24,775.76
  6. Step 6: Final answer
    x = 23,752.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.