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Finding the Fourth Proportional to 20,988.84, 31,486.14 and 6,198.84

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Solution

The fourth proportional to 20,988.84, 31,486.14 and 6,198.84 is: 9,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988.84 : 31,486.14 = 6,198.84 : x
  2. Step 2: Convert to fraction form
    20,988.84/31,486.14 = 6,198.84/x
  3. Step 3: Cross multiply
    20,988.84x = 31,486.14 × 6,198.84
  4. Step 4: Simplify right side
    20,988.84x = 195,177,544.08
  5. Step 5: Solve for x
    x = 195,177,544.08/20,988.84
  6. Step 6: Final answer
    x = 9,299.11

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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.