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Finding the Fourth Proportional to 16,196.89, 22,351.76 and 9,392.23

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Solution

The fourth proportional to 16,196.89, 22,351.76 and 9,392.23 is: 12,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.89 : 22,351.76 = 9,392.23 : x
  2. Step 2: Convert to fraction form
    16,196.89/22,351.76 = 9,392.23/x
  3. Step 3: Cross multiply
    16,196.89x = 22,351.76 × 9,392.23
  4. Step 4: Simplify right side
    16,196.89x = 209,932,870.82
  5. Step 5: Solve for x
    x = 209,932,870.82/16,196.89
  6. Step 6: Final answer
    x = 12,961.31

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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.