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Finding the Fourth Proportional to 12,143.52, 16,648.83 and 11,922.12

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Solution

The fourth proportional to 12,143.52, 16,648.83 and 11,922.12 is: 16,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.52 : 16,648.83 = 11,922.12 : x
  2. Step 2: Convert to fraction form
    12,143.52/16,648.83 = 11,922.12/x
  3. Step 3: Cross multiply
    12,143.52x = 16,648.83 × 11,922.12
  4. Step 4: Simplify right side
    12,143.52x = 198,489,349.12
  5. Step 5: Solve for x
    x = 198,489,349.12/12,143.52
  6. Step 6: Final answer
    x = 16,345.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.