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Finding the Fourth Proportional to 24,767.43, 37,137.31 and 8,123.00

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Solution

The fourth proportional to 24,767.43, 37,137.31 and 8,123.00 is: 12,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.43 : 37,137.31 = 8,123.00 : x
  2. Step 2: Convert to fraction form
    24,767.43/37,137.31 = 8,123.00/x
  3. Step 3: Cross multiply
    24,767.43x = 37,137.31 × 8,123.00
  4. Step 4: Simplify right side
    24,767.43x = 301,666,238.21
  5. Step 5: Solve for x
    x = 301,666,238.21/24,767.43
  6. Step 6: Final answer
    x = 12,179.96

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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.