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Finding the Fourth Proportional to 22,597.57, 33,908.17 and 16,408.70

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Solution

The fourth proportional to 22,597.57, 33,908.17 and 16,408.70 is: 24,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.57 : 33,908.17 = 16,408.70 : x
  2. Step 2: Convert to fraction form
    22,597.57/33,908.17 = 16,408.70/x
  3. Step 3: Cross multiply
    22,597.57x = 33,908.17 × 16,408.70
  4. Step 4: Simplify right side
    22,597.57x = 556,388,989.08
  5. Step 5: Solve for x
    x = 556,388,989.08/22,597.57
  6. Step 6: Final answer
    x = 24,621.63

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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.