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Finding the Fourth Proportional to 17,737.00, 24,478.38 and 11,022.91

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Solution

The fourth proportional to 17,737.00, 24,478.38 and 11,022.91 is: 15,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.00 : 24,478.38 = 11,022.91 : x
  2. Step 2: Convert to fraction form
    17,737.00/24,478.38 = 11,022.91/x
  3. Step 3: Cross multiply
    17,737.00x = 24,478.38 × 11,022.91
  4. Step 4: Simplify right side
    17,737.00x = 269,822,918.49
  5. Step 5: Solve for x
    x = 269,822,918.49/17,737.00
  6. Step 6: Final answer
    x = 15,212.43

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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.