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Finding the Fourth Proportional to 24,601.61, 36,903.23 and 7,961.78

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Solution

The fourth proportional to 24,601.61, 36,903.23 and 7,961.78 is: 11,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.61 : 36,903.23 = 7,961.78 : x
  2. Step 2: Convert to fraction form
    24,601.61/36,903.23 = 7,961.78/x
  3. Step 3: Cross multiply
    24,601.61x = 36,903.23 × 7,961.78
  4. Step 4: Simplify right side
    24,601.61x = 293,815,398.55
  5. Step 5: Solve for x
    x = 293,815,398.55/24,601.61
  6. Step 6: Final answer
    x = 11,942.93

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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.