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Finding the Fourth Proportional to 24,906.18, 37,359.30 and 8,261.82

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Solution

The fourth proportional to 24,906.18, 37,359.30 and 8,261.82 is: 12,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.18 : 37,359.30 = 8,261.82 : x
  2. Step 2: Convert to fraction form
    24,906.18/37,359.30 = 8,261.82/x
  3. Step 3: Cross multiply
    24,906.18x = 37,359.30 × 8,261.82
  4. Step 4: Simplify right side
    24,906.18x = 308,655,811.93
  5. Step 5: Solve for x
    x = 308,655,811.93/24,906.18
  6. Step 6: Final answer
    x = 12,392.74

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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.