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Finding the Fourth Proportional to 25,171.82, 37,683.90 and 17,649.30

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Solution

The fourth proportional to 25,171.82, 37,683.90 and 17,649.30 is: 26,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.82 : 37,683.90 = 17,649.30 : x
  2. Step 2: Convert to fraction form
    25,171.82/37,683.90 = 17,649.30/x
  3. Step 3: Cross multiply
    25,171.82x = 37,683.90 × 17,649.30
  4. Step 4: Simplify right side
    25,171.82x = 665,094,456.27
  5. Step 5: Solve for x
    x = 665,094,456.27/25,171.82
  6. Step 6: Final answer
    x = 26,422.18

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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.