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Finding the Fourth Proportional to 25,171.32, 37,683.15 and 17,648.80

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Solution

The fourth proportional to 25,171.32, 37,683.15 and 17,648.80 is: 26,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171.32 : 37,683.15 = 17,648.80 : x
  2. Step 2: Convert to fraction form
    25,171.32/37,683.15 = 17,648.80/x
  3. Step 3: Cross multiply
    25,171.32x = 37,683.15 × 17,648.80
  4. Step 4: Simplify right side
    25,171.32x = 665,062,377.72
  5. Step 5: Solve for x
    x = 665,062,377.72/25,171.32
  6. Step 6: Final answer
    x = 26,421.43

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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.