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Finding the Fourth Proportional to 25,997.48, 38,976.34 and 21,541.46

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Solution

The fourth proportional to 25,997.48, 38,976.34 and 21,541.46 is: 32,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.48 : 38,976.34 = 21,541.46 : x
  2. Step 2: Convert to fraction form
    25,997.48/38,976.34 = 21,541.46/x
  3. Step 3: Cross multiply
    25,997.48x = 38,976.34 × 21,541.46
  4. Step 4: Simplify right side
    25,997.48x = 839,607,269.06
  5. Step 5: Solve for x
    x = 839,607,269.06/25,997.48
  6. Step 6: Final answer
    x = 32,295.72

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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.