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Finding the Fourth Proportional to 22,197.81, 30,633.05 and 12,765.75

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Solution

The fourth proportional to 22,197.81, 30,633.05 and 12,765.75 is: 17,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.81 : 30,633.05 = 12,765.75 : x
  2. Step 2: Convert to fraction form
    22,197.81/30,633.05 = 12,765.75/x
  3. Step 3: Cross multiply
    22,197.81x = 30,633.05 × 12,765.75
  4. Step 4: Simplify right side
    22,197.81x = 391,053,794.21
  5. Step 5: Solve for x
    x = 391,053,794.21/22,197.81
  6. Step 6: Final answer
    x = 17,616.77

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