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Finding the Fourth Proportional to 16,198.66, 22,354.41 and 9,029.17

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Solution

The fourth proportional to 16,198.66, 22,354.41 and 9,029.17 is: 12,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.66 : 22,354.41 = 9,029.17 : x
  2. Step 2: Convert to fraction form
    16,198.66/22,354.41 = 9,029.17/x
  3. Step 3: Cross multiply
    16,198.66x = 22,354.41 × 9,029.17
  4. Step 4: Simplify right side
    16,198.66x = 201,841,768.14
  5. Step 5: Solve for x
    x = 201,841,768.14/16,198.66
  6. Step 6: Final answer
    x = 12,460.40

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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.