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Finding the Fourth Proportional to 25,997.71, 38,996.22 and 6,276.16

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Solution

The fourth proportional to 25,997.71, 38,996.22 and 6,276.16 is: 9,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.71 : 38,996.22 = 6,276.16 : x
  2. Step 2: Convert to fraction form
    25,997.71/38,996.22 = 6,276.16/x
  3. Step 3: Cross multiply
    25,997.71x = 38,996.22 × 6,276.16
  4. Step 4: Simplify right side
    25,997.71x = 244,746,516.12
  5. Step 5: Solve for x
    x = 244,746,516.12/25,997.71
  6. Step 6: Final answer
    x = 9,414.16

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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.