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Finding the Fourth Proportional to 16,464, 22,720.41 and 9,012

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Solution

The fourth proportional to 16,464, 22,720.41 and 9,012 is: 12,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 22,720.41 = 9,012 : x
  2. Step 2: Convert to fraction form
    16,464/22,720.41 = 9,012/x
  3. Step 3: Cross multiply
    16,464x = 22,720.41 × 9,012
  4. Step 4: Simplify right side
    16,464x = 204,756,334.92
  5. Step 5: Solve for x
    x = 204,756,334.92/16,464
  6. Step 6: Final answer
    x = 12,436.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.