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Finding the Fourth Proportional to 16,203.74, 24,311.75 and 6,349.82

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Solution

The fourth proportional to 16,203.74, 24,311.75 and 6,349.82 is: 9,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.74 : 24,311.75 = 6,349.82 : x
  2. Step 2: Convert to fraction form
    16,203.74/24,311.75 = 6,349.82/x
  3. Step 3: Cross multiply
    16,203.74x = 24,311.75 × 6,349.82
  4. Step 4: Simplify right side
    16,203.74x = 154,375,083.08
  5. Step 5: Solve for x
    x = 154,375,083.08/16,203.74
  6. Step 6: Final answer
    x = 9,527.13

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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.