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Finding the Fourth Proportional to 14,847.50, 20,489.22 and 8,386.54

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Solution

The fourth proportional to 14,847.50, 20,489.22 and 8,386.54 is: 11,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.50 : 20,489.22 = 8,386.54 : x
  2. Step 2: Convert to fraction form
    14,847.50/20,489.22 = 8,386.54/x
  3. Step 3: Cross multiply
    14,847.50x = 20,489.22 × 8,386.54
  4. Step 4: Simplify right side
    14,847.50x = 171,833,611.88
  5. Step 5: Solve for x
    x = 171,833,611.88/14,847.50
  6. Step 6: Final answer
    x = 11,573.23

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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.