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Finding the Fourth Proportional to 25,767.86, 38,649.93 and 7,998.04

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Solution

The fourth proportional to 25,767.86, 38,649.93 and 7,998.04 is: 11,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767.86 : 38,649.93 = 7,998.04 : x
  2. Step 2: Convert to fraction form
    25,767.86/38,649.93 = 7,998.04/x
  3. Step 3: Cross multiply
    25,767.86x = 38,649.93 × 7,998.04
  4. Step 4: Simplify right side
    25,767.86x = 309,123,704.46
  5. Step 5: Solve for x
    x = 309,123,704.46/25,767.86
  6. Step 6: Final answer
    x = 11,996.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.