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Finding the Fourth Proportional to 14,667.84, 20,245.14 and 8,383.86

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Solution

The fourth proportional to 14,667.84, 20,245.14 and 8,383.86 is: 11,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.84 : 20,245.14 = 8,383.86 : x
  2. Step 2: Convert to fraction form
    14,667.84/20,245.14 = 8,383.86/x
  3. Step 3: Cross multiply
    14,667.84x = 20,245.14 × 8,383.86
  4. Step 4: Simplify right side
    14,667.84x = 169,732,419.44
  5. Step 5: Solve for x
    x = 169,732,419.44/14,667.84
  6. Step 6: Final answer
    x = 11,571.74

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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.