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Finding the Fourth Proportional to 24,807.70, 37,213.90 and 8,167.77

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Solution

The fourth proportional to 24,807.70, 37,213.90 and 8,167.77 is: 12,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.70 : 37,213.90 = 8,167.77 : x
  2. Step 2: Convert to fraction form
    24,807.70/37,213.90 = 8,167.77/x
  3. Step 3: Cross multiply
    24,807.70x = 37,213.90 × 8,167.77
  4. Step 4: Simplify right side
    24,807.70x = 303,954,555.58
  5. Step 5: Solve for x
    x = 303,954,555.58/24,807.70
  6. Step 6: Final answer
    x = 12,252.43

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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.