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Finding the Fourth Proportional to 24,129.97, 36,185.84 and 11,645.85

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Solution

The fourth proportional to 24,129.97, 36,185.84 and 11,645.85 is: 17,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.97 : 36,185.84 = 11,645.85 : x
  2. Step 2: Convert to fraction form
    24,129.97/36,185.84 = 11,645.85/x
  3. Step 3: Cross multiply
    24,129.97x = 36,185.84 × 11,645.85
  4. Step 4: Simplify right side
    24,129.97x = 421,414,712.95
  5. Step 5: Solve for x
    x = 421,414,712.95/24,129.97
  6. Step 6: Final answer
    x = 17,464.37

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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.