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Finding the Fourth Proportional to 22,138.14, 30,551.29 and 12,067.24

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Solution

The fourth proportional to 22,138.14, 30,551.29 and 12,067.24 is: 16,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.14 : 30,551.29 = 12,067.24 : x
  2. Step 2: Convert to fraction form
    22,138.14/30,551.29 = 12,067.24/x
  3. Step 3: Cross multiply
    22,138.14x = 30,551.29 × 12,067.24
  4. Step 4: Simplify right side
    22,138.14x = 368,669,748.74
  5. Step 5: Solve for x
    x = 368,669,748.74/22,138.14
  6. Step 6: Final answer
    x = 16,653.15

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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.