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Finding the Fourth Proportional to 22,023.86, 30,394.15 and 12,464.24

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Solution

The fourth proportional to 22,023.86, 30,394.15 and 12,464.24 is: 17,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.86 : 30,394.15 = 12,464.24 : x
  2. Step 2: Convert to fraction form
    22,023.86/30,394.15 = 12,464.24/x
  3. Step 3: Cross multiply
    22,023.86x = 30,394.15 × 12,464.24
  4. Step 4: Simplify right side
    22,023.86x = 378,839,873.05
  5. Step 5: Solve for x
    x = 378,839,873.05/22,023.86
  6. Step 6: Final answer
    x = 17,201.34

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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.