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Finding the Fourth Proportional to 14,487.96, 21,703.86 and 8,229.09

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Solution

The fourth proportional to 14,487.96, 21,703.86 and 8,229.09 is: 12,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.96 : 21,703.86 = 8,229.09 : x
  2. Step 2: Convert to fraction form
    14,487.96/21,703.86 = 8,229.09/x
  3. Step 3: Cross multiply
    14,487.96x = 21,703.86 × 8,229.09
  4. Step 4: Simplify right side
    14,487.96x = 178,603,017.29
  5. Step 5: Solve for x
    x = 178,603,017.29/14,487.96
  6. Step 6: Final answer
    x = 12,327.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.