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Finding the Fourth Proportional to 20,065.14, 30,097.04 and 9,542.70

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Solution

The fourth proportional to 20,065.14, 30,097.04 and 9,542.70 is: 14,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.14 : 30,097.04 = 9,542.70 : x
  2. Step 2: Convert to fraction form
    20,065.14/30,097.04 = 9,542.70/x
  3. Step 3: Cross multiply
    20,065.14x = 30,097.04 × 9,542.70
  4. Step 4: Simplify right side
    20,065.14x = 287,206,975.89
  5. Step 5: Solve for x
    x = 287,206,975.89/20,065.14
  6. Step 6: Final answer
    x = 14,313.73

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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.