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Finding the Fourth Proportional to 16,219.75, 24,321.66 and 6,356.38

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Solution

The fourth proportional to 16,219.75, 24,321.66 and 6,356.38 is: 9,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.75 : 24,321.66 = 6,356.38 : x
  2. Step 2: Convert to fraction form
    16,219.75/24,321.66 = 6,356.38/x
  3. Step 3: Cross multiply
    16,219.75x = 24,321.66 × 6,356.38
  4. Step 4: Simplify right side
    16,219.75x = 154,597,713.19
  5. Step 5: Solve for x
    x = 154,597,713.19/16,219.75
  6. Step 6: Final answer
    x = 9,531.45

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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.