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Finding the Fourth Proportional to 16,550.78, 22,837.82 and 9,833.95

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Solution

The fourth proportional to 16,550.78, 22,837.82 and 9,833.95 is: 13,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550.78 : 22,837.82 = 9,833.95 : x
  2. Step 2: Convert to fraction form
    16,550.78/22,837.82 = 9,833.95/x
  3. Step 3: Cross multiply
    16,550.78x = 22,837.82 × 9,833.95
  4. Step 4: Simplify right side
    16,550.78x = 224,585,959.37
  5. Step 5: Solve for x
    x = 224,585,959.37/16,550.78
  6. Step 6: Final answer
    x = 13,569.51

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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.