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Finding the Fourth Proportional to 16,101.16, 22,219.60 and 9,027.58

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Solution

The fourth proportional to 16,101.16, 22,219.60 and 9,027.58 is: 12,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.16 : 22,219.60 = 9,027.58 : x
  2. Step 2: Convert to fraction form
    16,101.16/22,219.60 = 9,027.58/x
  3. Step 3: Cross multiply
    16,101.16x = 22,219.60 × 9,027.58
  4. Step 4: Simplify right side
    16,101.16x = 200,589,216.57
  5. Step 5: Solve for x
    x = 200,589,216.57/16,101.16
  6. Step 6: Final answer
    x = 12,458.06

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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.