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Finding the Fourth Proportional to 20,516.60, 30,767.70 and 9,428.60

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Solution

The fourth proportional to 20,516.60, 30,767.70 and 9,428.60 is: 14,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.60 : 30,767.70 = 9,428.60 : x
  2. Step 2: Convert to fraction form
    20,516.60/30,767.70 = 9,428.60/x
  3. Step 3: Cross multiply
    20,516.60x = 30,767.70 × 9,428.60
  4. Step 4: Simplify right side
    20,516.60x = 290,096,336.22
  5. Step 5: Solve for x
    x = 290,096,336.22/20,516.60
  6. Step 6: Final answer
    x = 14,139.59

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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.