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Finding the Fourth Proportional to 16,310.78, 22,508.49 and 9,596.84

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Solution

The fourth proportional to 16,310.78, 22,508.49 and 9,596.84 is: 13,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.78 : 22,508.49 = 9,596.84 : x
  2. Step 2: Convert to fraction form
    16,310.78/22,508.49 = 9,596.84/x
  3. Step 3: Cross multiply
    16,310.78x = 22,508.49 × 9,596.84
  4. Step 4: Simplify right side
    16,310.78x = 216,010,377.17
  5. Step 5: Solve for x
    x = 216,010,377.17/16,310.78
  6. Step 6: Final answer
    x = 13,243.41

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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.