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Finding the Fourth Proportional to 20,099.19, 30,139.20 and 9,005.97

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Solution

The fourth proportional to 20,099.19, 30,139.20 and 9,005.97 is: 13,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.19 : 30,139.20 = 9,005.97 : x
  2. Step 2: Convert to fraction form
    20,099.19/30,139.20 = 9,005.97/x
  3. Step 3: Cross multiply
    20,099.19x = 30,139.20 × 9,005.97
  4. Step 4: Simplify right side
    20,099.19x = 271,432,731.02
  5. Step 5: Solve for x
    x = 271,432,731.02/20,099.19
  6. Step 6: Final answer
    x = 13,504.66

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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.