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Finding the Fourth Proportional to 16,093.72, 22,201.80 and 10,039

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Solution

The fourth proportional to 16,093.72, 22,201.80 and 10,039 is: 13,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.72 : 22,201.80 = 10,039 : x
  2. Step 2: Convert to fraction form
    16,093.72/22,201.80 = 10,039/x
  3. Step 3: Cross multiply
    16,093.72x = 22,201.80 × 10,039
  4. Step 4: Simplify right side
    16,093.72x = 222,883,870.20
  5. Step 5: Solve for x
    x = 222,883,870.20/16,093.72
  6. Step 6: Final answer
    x = 13,849.12

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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.