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Finding the Fourth Proportional to 20,146.93, 30,238.87 and 10,797.50

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Solution

The fourth proportional to 20,146.93, 30,238.87 and 10,797.50 is: 16,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.93 : 30,238.87 = 10,797.50 : x
  2. Step 2: Convert to fraction form
    20,146.93/30,238.87 = 10,797.50/x
  3. Step 3: Cross multiply
    20,146.93x = 30,238.87 × 10,797.50
  4. Step 4: Simplify right side
    20,146.93x = 326,504,267.67
  5. Step 5: Solve for x
    x = 326,504,267.67/20,146.93
  6. Step 6: Final answer
    x = 16,206.16

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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.