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Finding the Fourth Proportional to 16,198.83, 22,354.26 and 9,127.53

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Solution

The fourth proportional to 16,198.83, 22,354.26 and 9,127.53 is: 12,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.83 : 22,354.26 = 9,127.53 : x
  2. Step 2: Convert to fraction form
    16,198.83/22,354.26 = 9,127.53/x
  3. Step 3: Cross multiply
    16,198.83x = 22,354.26 × 9,127.53
  4. Step 4: Simplify right side
    16,198.83x = 204,039,178.78
  5. Step 5: Solve for x
    x = 204,039,178.78/16,198.83
  6. Step 6: Final answer
    x = 12,595.92

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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.