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Finding the Fourth Proportional to 14,788.94, 20,408.63 and 8,074.56

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Solution

The fourth proportional to 14,788.94, 20,408.63 and 8,074.56 is: 11,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.94 : 20,408.63 = 8,074.56 : x
  2. Step 2: Convert to fraction form
    14,788.94/20,408.63 = 8,074.56/x
  3. Step 3: Cross multiply
    14,788.94x = 20,408.63 × 8,074.56
  4. Step 4: Simplify right side
    14,788.94x = 164,790,727.64
  5. Step 5: Solve for x
    x = 164,790,727.64/14,788.94
  6. Step 6: Final answer
    x = 11,142.84

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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.