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Finding the Fourth Proportional to 22,066.75, 30,431.16 and 14,519.49

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Solution

The fourth proportional to 22,066.75, 30,431.16 and 14,519.49 is: 20,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,066.75 : 30,431.16 = 14,519.49 : x
  2. Step 2: Convert to fraction form
    22,066.75/30,431.16 = 14,519.49/x
  3. Step 3: Cross multiply
    22,066.75x = 30,431.16 × 14,519.49
  4. Step 4: Simplify right side
    22,066.75x = 441,844,923.31
  5. Step 5: Solve for x
    x = 441,844,923.31/22,066.75
  6. Step 6: Final answer
    x = 20,023.11

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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.