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Finding the Fourth Proportional to 16,073.45, 22,181.36 and 9,785.83

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Solution

The fourth proportional to 16,073.45, 22,181.36 and 9,785.83 is: 13,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.45 : 22,181.36 = 9,785.83 : x
  2. Step 2: Convert to fraction form
    16,073.45/22,181.36 = 9,785.83/x
  3. Step 3: Cross multiply
    16,073.45x = 22,181.36 × 9,785.83
  4. Step 4: Simplify right side
    16,073.45x = 217,063,018.13
  5. Step 5: Solve for x
    x = 217,063,018.13/16,073.45
  6. Step 6: Final answer
    x = 13,504.44

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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.