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Finding the Fourth Proportional to 22,165.11, 30,572.19 and 13,205.70

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Solution

The fourth proportional to 22,165.11, 30,572.19 and 13,205.70 is: 18,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.11 : 30,572.19 = 13,205.70 : x
  2. Step 2: Convert to fraction form
    22,165.11/30,572.19 = 13,205.70/x
  3. Step 3: Cross multiply
    22,165.11x = 30,572.19 × 13,205.70
  4. Step 4: Simplify right side
    22,165.11x = 403,727,016.62
  5. Step 5: Solve for x
    x = 403,727,016.62/22,165.11
  6. Step 6: Final answer
    x = 18,214.53

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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.