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Finding the Fourth Proportional to 16,298, 22,434.12 and 14,198.48

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Solution

The fourth proportional to 16,298, 22,434.12 and 14,198.48 is: 19,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298 : 22,434.12 = 14,198.48 : x
  2. Step 2: Convert to fraction form
    16,298/22,434.12 = 14,198.48/x
  3. Step 3: Cross multiply
    16,298x = 22,434.12 × 14,198.48
  4. Step 4: Simplify right side
    16,298x = 318,530,404.14
  5. Step 5: Solve for x
    x = 318,530,404.14/16,298
  6. Step 6: Final answer
    x = 19,544.14

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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.