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Finding the Fourth Proportional to 16,205.86, 24,299.06 and 6,333.38

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Solution

The fourth proportional to 16,205.86, 24,299.06 and 6,333.38 is: 9,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.86 : 24,299.06 = 6,333.38 : x
  2. Step 2: Convert to fraction form
    16,205.86/24,299.06 = 6,333.38/x
  3. Step 3: Cross multiply
    16,205.86x = 24,299.06 × 6,333.38
  4. Step 4: Simplify right side
    16,205.86x = 153,895,059.13
  5. Step 5: Solve for x
    x = 153,895,059.13/16,205.86
  6. Step 6: Final answer
    x = 9,496.26

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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.