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Finding the Fourth Proportional to 16,721.68, 23,078.52 and 9,650.32

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Solution

The fourth proportional to 16,721.68, 23,078.52 and 9,650.32 is: 13,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721.68 : 23,078.52 = 9,650.32 : x
  2. Step 2: Convert to fraction form
    16,721.68/23,078.52 = 9,650.32/x
  3. Step 3: Cross multiply
    16,721.68x = 23,078.52 × 9,650.32
  4. Step 4: Simplify right side
    16,721.68x = 222,715,103.13
  5. Step 5: Solve for x
    x = 222,715,103.13/16,721.68
  6. Step 6: Final answer
    x = 13,318.94

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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.