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Finding the Fourth Proportional to 16,081.78, 22,192.85 and 9,794.15

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Solution

The fourth proportional to 16,081.78, 22,192.85 and 9,794.15 is: 13,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.78 : 22,192.85 = 9,794.15 : x
  2. Step 2: Convert to fraction form
    16,081.78/22,192.85 = 9,794.15/x
  3. Step 3: Cross multiply
    16,081.78x = 22,192.85 × 9,794.15
  4. Step 4: Simplify right side
    16,081.78x = 217,360,101.83
  5. Step 5: Solve for x
    x = 217,360,101.83/16,081.78
  6. Step 6: Final answer
    x = 13,515.93

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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.