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Finding the Fourth Proportional to 16,616.50, 22,905.21 and 10,941.46

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Solution

The fourth proportional to 16,616.50, 22,905.21 and 10,941.46 is: 15,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.50 : 22,905.21 = 10,941.46 : x
  2. Step 2: Convert to fraction form
    16,616.50/22,905.21 = 10,941.46/x
  3. Step 3: Cross multiply
    16,616.50x = 22,905.21 × 10,941.46
  4. Step 4: Simplify right side
    16,616.50x = 250,616,439.01
  5. Step 5: Solve for x
    x = 250,616,439.01/16,616.50
  6. Step 6: Final answer
    x = 15,082.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.