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Finding the Fourth Proportional to 20,185.68, 30,283.12 and 6,147.69

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Solution

The fourth proportional to 20,185.68, 30,283.12 and 6,147.69 is: 9,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.68 : 30,283.12 = 6,147.69 : x
  2. Step 2: Convert to fraction form
    20,185.68/30,283.12 = 6,147.69/x
  3. Step 3: Cross multiply
    20,185.68x = 30,283.12 × 6,147.69
  4. Step 4: Simplify right side
    20,185.68x = 186,171,298.46
  5. Step 5: Solve for x
    x = 186,171,298.46/20,185.68
  6. Step 6: Final answer
    x = 9,222.94

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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.