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Finding the Fourth Proportional to 20,027.64, 27,641.72 and 12,074.25

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Solution

The fourth proportional to 20,027.64, 27,641.72 and 12,074.25 is: 16,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.64 : 27,641.72 = 12,074.25 : x
  2. Step 2: Convert to fraction form
    20,027.64/27,641.72 = 12,074.25/x
  3. Step 3: Cross multiply
    20,027.64x = 27,641.72 × 12,074.25
  4. Step 4: Simplify right side
    20,027.64x = 333,753,037.71
  5. Step 5: Solve for x
    x = 333,753,037.71/20,027.64
  6. Step 6: Final answer
    x = 16,664.62

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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.