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Finding the Fourth Proportional to 20,059.79, 30,144.22 and 10,706.45

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Solution

The fourth proportional to 20,059.79, 30,144.22 and 10,706.45 is: 16,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.79 : 30,144.22 = 10,706.45 : x
  2. Step 2: Convert to fraction form
    20,059.79/30,144.22 = 10,706.45/x
  3. Step 3: Cross multiply
    20,059.79x = 30,144.22 × 10,706.45
  4. Step 4: Simplify right side
    20,059.79x = 322,737,406.73
  5. Step 5: Solve for x
    x = 322,737,406.73/20,059.79
  6. Step 6: Final answer
    x = 16,088.78

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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.