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Finding the Fourth Proportional to 25,767.49, 38,656.74 and 7,997.78

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Solution

The fourth proportional to 25,767.49, 38,656.74 and 7,997.78 is: 11,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767.49 : 38,656.74 = 7,997.78 : x
  2. Step 2: Convert to fraction form
    25,767.49/38,656.74 = 7,997.78/x
  3. Step 3: Cross multiply
    25,767.49x = 38,656.74 × 7,997.78
  4. Step 4: Simplify right side
    25,767.49x = 309,168,102.04
  5. Step 5: Solve for x
    x = 309,168,102.04/25,767.49
  6. Step 6: Final answer
    x = 11,998.38

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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.