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Finding the Fourth Proportional to 16,100.62, 22,219.32 and 9,027.16

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Solution

The fourth proportional to 16,100.62, 22,219.32 and 9,027.16 is: 12,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.62 : 22,219.32 = 9,027.16 : x
  2. Step 2: Convert to fraction form
    16,100.62/22,219.32 = 9,027.16/x
  3. Step 3: Cross multiply
    16,100.62x = 22,219.32 × 9,027.16
  4. Step 4: Simplify right side
    16,100.62x = 200,577,356.73
  5. Step 5: Solve for x
    x = 200,577,356.73/16,100.62
  6. Step 6: Final answer
    x = 12,457.74

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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.