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Finding the Fourth Proportional to 24,661.72, 37,002.30 and 10,801

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Solution

The fourth proportional to 24,661.72, 37,002.30 and 10,801 is: 16,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.72 : 37,002.30 = 10,801 : x
  2. Step 2: Convert to fraction form
    24,661.72/37,002.30 = 10,801/x
  3. Step 3: Cross multiply
    24,661.72x = 37,002.30 × 10,801
  4. Step 4: Simplify right side
    24,661.72x = 399,661,842.30
  5. Step 5: Solve for x
    x = 399,661,842.30/24,661.72
  6. Step 6: Final answer
    x = 16,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.