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Finding the Fourth Proportional to 24,593.24, 36,893.48 and 7,947.74

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Solution

The fourth proportional to 24,593.24, 36,893.48 and 7,947.74 is: 11,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.24 : 36,893.48 = 7,947.74 : x
  2. Step 2: Convert to fraction form
    24,593.24/36,893.48 = 7,947.74/x
  3. Step 3: Cross multiply
    24,593.24x = 36,893.48 × 7,947.74
  4. Step 4: Simplify right side
    24,593.24x = 293,219,562.53
  5. Step 5: Solve for x
    x = 293,219,562.53/24,593.24
  6. Step 6: Final answer
    x = 11,922.77

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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.