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Finding the Fourth Proportional to 20,099.06, 30,158.58 and 9,013.58

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Solution

The fourth proportional to 20,099.06, 30,158.58 and 9,013.58 is: 13,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.06 : 30,158.58 = 9,013.58 : x
  2. Step 2: Convert to fraction form
    20,099.06/30,158.58 = 9,013.58/x
  3. Step 3: Cross multiply
    20,099.06x = 30,158.58 × 9,013.58
  4. Step 4: Simplify right side
    20,099.06x = 271,836,773.52
  5. Step 5: Solve for x
    x = 271,836,773.52/20,099.06
  6. Step 6: Final answer
    x = 13,524.85

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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.