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Finding the Fourth Proportional to 17,800.39, 24,542.21 and 11,415.72

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Solution

The fourth proportional to 17,800.39, 24,542.21 and 11,415.72 is: 15,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.39 : 24,542.21 = 11,415.72 : x
  2. Step 2: Convert to fraction form
    17,800.39/24,542.21 = 11,415.72/x
  3. Step 3: Cross multiply
    17,800.39x = 24,542.21 × 11,415.72
  4. Step 4: Simplify right side
    17,800.39x = 280,167,047.48
  5. Step 5: Solve for x
    x = 280,167,047.48/17,800.39
  6. Step 6: Final answer
    x = 15,739.37

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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.