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Finding the Fourth Proportional to 14,500, 20,006.96 and 8,532.33

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Solution

The fourth proportional to 14,500, 20,006.96 and 8,532.33 is: 11,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500 : 20,006.96 = 8,532.33 : x
  2. Step 2: Convert to fraction form
    14,500/20,006.96 = 8,532.33/x
  3. Step 3: Cross multiply
    14,500x = 20,006.96 × 8,532.33
  4. Step 4: Simplify right side
    14,500x = 170,705,985.02
  5. Step 5: Solve for x
    x = 170,705,985.02/14,500
  6. Step 6: Final answer
    x = 11,772.83

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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.