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Finding the Fourth Proportional to 16,317, 24,475.68 and 4,005

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Solution

The fourth proportional to 16,317, 24,475.68 and 4,005 is: 6,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317 : 24,475.68 = 4,005 : x
  2. Step 2: Convert to fraction form
    16,317/24,475.68 = 4,005/x
  3. Step 3: Cross multiply
    16,317x = 24,475.68 × 4,005
  4. Step 4: Simplify right side
    16,317x = 98,025,098.40
  5. Step 5: Solve for x
    x = 98,025,098.40/16,317
  6. Step 6: Final answer
    x = 6,007.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.