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Finding the Fourth Proportional to 16,767.40, 23,138.08 and 9,212.24

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Solution

The fourth proportional to 16,767.40, 23,138.08 and 9,212.24 is: 12,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.40 : 23,138.08 = 9,212.24 : x
  2. Step 2: Convert to fraction form
    16,767.40/23,138.08 = 9,212.24/x
  3. Step 3: Cross multiply
    16,767.40x = 23,138.08 × 9,212.24
  4. Step 4: Simplify right side
    16,767.40x = 213,153,546.10
  5. Step 5: Solve for x
    x = 213,153,546.10/16,767.40
  6. Step 6: Final answer
    x = 12,712.38

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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.