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Finding the Fourth Proportional to 24,778.71, 37,161.23 and 8,137.01

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Solution

The fourth proportional to 24,778.71, 37,161.23 and 8,137.01 is: 12,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.71 : 37,161.23 = 8,137.01 : x
  2. Step 2: Convert to fraction form
    24,778.71/37,161.23 = 8,137.01/x
  3. Step 3: Cross multiply
    24,778.71x = 37,161.23 × 8,137.01
  4. Step 4: Simplify right side
    24,778.71x = 302,381,189.08
  5. Step 5: Solve for x
    x = 302,381,189.08/24,778.71
  6. Step 6: Final answer
    x = 12,203.27

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