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Finding the Fourth Proportional to 23,991.74, 35,978.97 and 10,141.82

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Solution

The fourth proportional to 23,991.74, 35,978.97 and 10,141.82 is: 15,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,991.74 : 35,978.97 = 10,141.82 : x
  2. Step 2: Convert to fraction form
    23,991.74/35,978.97 = 10,141.82/x
  3. Step 3: Cross multiply
    23,991.74x = 35,978.97 × 10,141.82
  4. Step 4: Simplify right side
    23,991.74x = 364,892,237.53
  5. Step 5: Solve for x
    x = 364,892,237.53/23,991.74
  6. Step 6: Final answer
    x = 15,209.08

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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.