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Finding the Fourth Proportional to 16,008, 24,021.72 and 6,774

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Solution

The fourth proportional to 16,008, 24,021.72 and 6,774 is: 10,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008 : 24,021.72 = 6,774 : x
  2. Step 2: Convert to fraction form
    16,008/24,021.72 = 6,774/x
  3. Step 3: Cross multiply
    16,008x = 24,021.72 × 6,774
  4. Step 4: Simplify right side
    16,008x = 162,723,131.28
  5. Step 5: Solve for x
    x = 162,723,131.28/16,008
  6. Step 6: Final answer
    x = 10,165.11

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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.