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Finding the Fourth Proportional to 25,102.16, 37,593.86 and 21,797.29

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Solution

The fourth proportional to 25,102.16, 37,593.86 and 21,797.29 is: 32,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.16 : 37,593.86 = 21,797.29 : x
  2. Step 2: Convert to fraction form
    25,102.16/37,593.86 = 21,797.29/x
  3. Step 3: Cross multiply
    25,102.16x = 37,593.86 × 21,797.29
  4. Step 4: Simplify right side
    25,102.16x = 819,444,229.15
  5. Step 5: Solve for x
    x = 819,444,229.15/25,102.16
  6. Step 6: Final answer
    x = 32,644.38

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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.