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Finding the Fourth Proportional to 24,049.35, 36,086.94 and 10,019.07

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Solution

The fourth proportional to 24,049.35, 36,086.94 and 10,019.07 is: 15,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.35 : 36,086.94 = 10,019.07 : x
  2. Step 2: Convert to fraction form
    24,049.35/36,086.94 = 10,019.07/x
  3. Step 3: Cross multiply
    24,049.35x = 36,086.94 × 10,019.07
  4. Step 4: Simplify right side
    24,049.35x = 361,557,577.95
  5. Step 5: Solve for x
    x = 361,557,577.95/24,049.35
  6. Step 6: Final answer
    x = 15,033.99

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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.