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Finding the Fourth Proportional to 24,844.72, 37,270.77 and 8,206.51

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Solution

The fourth proportional to 24,844.72, 37,270.77 and 8,206.51 is: 12,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.72 : 37,270.77 = 8,206.51 : x
  2. Step 2: Convert to fraction form
    24,844.72/37,270.77 = 8,206.51/x
  3. Step 3: Cross multiply
    24,844.72x = 37,270.77 × 8,206.51
  4. Step 4: Simplify right side
    24,844.72x = 305,862,853.54
  5. Step 5: Solve for x
    x = 305,862,853.54/24,844.72
  6. Step 6: Final answer
    x = 12,310.98

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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.