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Finding the Fourth Proportional to 16,640.22, 22,963.62 and 9,086.36

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Solution

The fourth proportional to 16,640.22, 22,963.62 and 9,086.36 is: 12,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.22 : 22,963.62 = 9,086.36 : x
  2. Step 2: Convert to fraction form
    16,640.22/22,963.62 = 9,086.36/x
  3. Step 3: Cross multiply
    16,640.22x = 22,963.62 × 9,086.36
  4. Step 4: Simplify right side
    16,640.22x = 208,655,718.22
  5. Step 5: Solve for x
    x = 208,655,718.22/16,640.22
  6. Step 6: Final answer
    x = 12,539.24

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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.