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Finding the Fourth Proportional to 14,667.84, 20,234.88 and 10,200.96

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Solution

The fourth proportional to 14,667.84, 20,234.88 and 10,200.96 is: 14,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.84 : 20,234.88 = 10,200.96 : x
  2. Step 2: Convert to fraction form
    14,667.84/20,234.88 = 10,200.96/x
  3. Step 3: Cross multiply
    14,667.84x = 20,234.88 × 10,200.96
  4. Step 4: Simplify right side
    14,667.84x = 206,415,201.48
  5. Step 5: Solve for x
    x = 206,415,201.48/14,667.84
  6. Step 6: Final answer
    x = 14,072.64

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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.