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Finding the Fourth Proportional to 24,049.97, 36,074.14 and 10,893.14

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Solution

The fourth proportional to 24,049.97, 36,074.14 and 10,893.14 is: 16,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.97 : 36,074.14 = 10,893.14 : x
  2. Step 2: Convert to fraction form
    24,049.97/36,074.14 = 10,893.14/x
  3. Step 3: Cross multiply
    24,049.97x = 36,074.14 × 10,893.14
  4. Step 4: Simplify right side
    24,049.97x = 392,960,657.40
  5. Step 5: Solve for x
    x = 392,960,657.40/24,049.97
  6. Step 6: Final answer
    x = 16,339.34

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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.