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Finding the Fourth Proportional to 23,227.43, 32,053.82 and 12,616.98

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Solution

The fourth proportional to 23,227.43, 32,053.82 and 12,616.98 is: 17,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.43 : 32,053.82 = 12,616.98 : x
  2. Step 2: Convert to fraction form
    23,227.43/32,053.82 = 12,616.98/x
  3. Step 3: Cross multiply
    23,227.43x = 32,053.82 × 12,616.98
  4. Step 4: Simplify right side
    23,227.43x = 404,422,405.86
  5. Step 5: Solve for x
    x = 404,422,405.86/23,227.43
  6. Step 6: Final answer
    x = 17,411.42

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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.