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Finding the Fourth Proportional to 24,762.82, 37,142.94 and 8,120.66

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Solution

The fourth proportional to 24,762.82, 37,142.94 and 8,120.66 is: 12,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.82 : 37,142.94 = 8,120.66 : x
  2. Step 2: Convert to fraction form
    24,762.82/37,142.94 = 8,120.66/x
  3. Step 3: Cross multiply
    24,762.82x = 37,142.94 × 8,120.66
  4. Step 4: Simplify right side
    24,762.82x = 301,625,195.13
  5. Step 5: Solve for x
    x = 301,625,195.13/24,762.82
  6. Step 6: Final answer
    x = 12,180.57

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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.