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Finding the Fourth Proportional to 22,114.60, 30,524.42 and 14,566.44

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Solution

The fourth proportional to 22,114.60, 30,524.42 and 14,566.44 is: 20,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.60 : 30,524.42 = 14,566.44 : x
  2. Step 2: Convert to fraction form
    22,114.60/30,524.42 = 14,566.44/x
  3. Step 3: Cross multiply
    22,114.60x = 30,524.42 × 14,566.44
  4. Step 4: Simplify right side
    22,114.60x = 444,632,132.46
  5. Step 5: Solve for x
    x = 444,632,132.46/22,114.60
  6. Step 6: Final answer
    x = 20,105.82

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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.