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Finding the Fourth Proportional to 16,331.34, 24,493.34 and 6,472.82

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Solution

The fourth proportional to 16,331.34, 24,493.34 and 6,472.82 is: 9,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.34 : 24,493.34 = 6,472.82 : x
  2. Step 2: Convert to fraction form
    16,331.34/24,493.34 = 6,472.82/x
  3. Step 3: Cross multiply
    16,331.34x = 24,493.34 × 6,472.82
  4. Step 4: Simplify right side
    16,331.34x = 158,540,981.02
  5. Step 5: Solve for x
    x = 158,540,981.02/16,331.34
  6. Step 6: Final answer
    x = 9,707.78

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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.