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Finding the Fourth Proportional to 16,805.66, 23,191.38 and 9,251.91

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Solution

The fourth proportional to 16,805.66, 23,191.38 and 9,251.91 is: 12,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.66 : 23,191.38 = 9,251.91 : x
  2. Step 2: Convert to fraction form
    16,805.66/23,191.38 = 9,251.91/x
  3. Step 3: Cross multiply
    16,805.66x = 23,191.38 × 9,251.91
  4. Step 4: Simplify right side
    16,805.66x = 214,564,560.54
  5. Step 5: Solve for x
    x = 214,564,560.54/16,805.66
  6. Step 6: Final answer
    x = 12,767.40

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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.