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Finding the Fourth Proportional to 24,747.80, 37,093.82 and 12,276.77

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Solution

The fourth proportional to 24,747.80, 37,093.82 and 12,276.77 is: 18,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.80 : 37,093.82 = 12,276.77 : x
  2. Step 2: Convert to fraction form
    24,747.80/37,093.82 = 12,276.77/x
  3. Step 3: Cross multiply
    24,747.80x = 37,093.82 × 12,276.77
  4. Step 4: Simplify right side
    24,747.80x = 455,392,049.71
  5. Step 5: Solve for x
    x = 455,392,049.71/24,747.80
  6. Step 6: Final answer
    x = 18,401.32

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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.