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Finding the Fourth Proportional to 22,166.46, 30,585.54 and 13,214.80

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Solution

The fourth proportional to 22,166.46, 30,585.54 and 13,214.80 is: 18,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,166.46 : 30,585.54 = 13,214.80 : x
  2. Step 2: Convert to fraction form
    22,166.46/30,585.54 = 13,214.80/x
  3. Step 3: Cross multiply
    22,166.46x = 30,585.54 × 13,214.80
  4. Step 4: Simplify right side
    22,166.46x = 404,181,793.99
  5. Step 5: Solve for x
    x = 404,181,793.99/22,166.46
  6. Step 6: Final answer
    x = 18,233.94

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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.