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Finding the Fourth Proportional to 24,877.63, 37,309.52 and 8,238.96

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Solution

The fourth proportional to 24,877.63, 37,309.52 and 8,238.96 is: 12,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,877.63 : 37,309.52 = 8,238.96 : x
  2. Step 2: Convert to fraction form
    24,877.63/37,309.52 = 8,238.96/x
  3. Step 3: Cross multiply
    24,877.63x = 37,309.52 × 8,238.96
  4. Step 4: Simplify right side
    24,877.63x = 307,391,508.43
  5. Step 5: Solve for x
    x = 307,391,508.43/24,877.63
  6. Step 6: Final answer
    x = 12,356.14

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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.