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Finding the Fourth Proportional to 24,953.97, 37,438.10 and 8,324.88

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Solution

The fourth proportional to 24,953.97, 37,438.10 and 8,324.88 is: 12,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,953.97 : 37,438.10 = 8,324.88 : x
  2. Step 2: Convert to fraction form
    24,953.97/37,438.10 = 8,324.88/x
  3. Step 3: Cross multiply
    24,953.97x = 37,438.10 × 8,324.88
  4. Step 4: Simplify right side
    24,953.97x = 311,667,539.13
  5. Step 5: Solve for x
    x = 311,667,539.13/24,953.97
  6. Step 6: Final answer
    x = 12,489.70

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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.