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Finding the Fourth Proportional to 16,333.55, 22,540.28 and 9,259.97

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Solution

The fourth proportional to 16,333.55, 22,540.28 and 9,259.97 is: 12,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.55 : 22,540.28 = 9,259.97 : x
  2. Step 2: Convert to fraction form
    16,333.55/22,540.28 = 9,259.97/x
  3. Step 3: Cross multiply
    16,333.55x = 22,540.28 × 9,259.97
  4. Step 4: Simplify right side
    16,333.55x = 208,722,284.38
  5. Step 5: Solve for x
    x = 208,722,284.38/16,333.55
  6. Step 6: Final answer
    x = 12,778.75

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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.