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Finding the Fourth Proportional to 24,351.24, 33,606.22 and 13,737

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Solution

The fourth proportional to 24,351.24, 33,606.22 and 13,737 is: 18,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.24 : 33,606.22 = 13,737 : x
  2. Step 2: Convert to fraction form
    24,351.24/33,606.22 = 13,737/x
  3. Step 3: Cross multiply
    24,351.24x = 33,606.22 × 13,737
  4. Step 4: Simplify right side
    24,351.24x = 461,648,644.14
  5. Step 5: Solve for x
    x = 461,648,644.14/24,351.24
  6. Step 6: Final answer
    x = 18,957.91

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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.