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Finding the Fourth Proportional to 24,800.52, 37,192.86 and 8,156.73

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Solution

The fourth proportional to 24,800.52, 37,192.86 and 8,156.73 is: 12,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800.52 : 37,192.86 = 8,156.73 : x
  2. Step 2: Convert to fraction form
    24,800.52/37,192.86 = 8,156.73/x
  3. Step 3: Cross multiply
    24,800.52x = 37,192.86 × 8,156.73
  4. Step 4: Simplify right side
    24,800.52x = 303,372,116.95
  5. Step 5: Solve for x
    x = 303,372,116.95/24,800.52
  6. Step 6: Final answer
    x = 12,232.49

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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.