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Finding the Fourth Proportional to 20,147.84, 30,200.66 and 7,660.07

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Solution

The fourth proportional to 20,147.84, 30,200.66 and 7,660.07 is: 11,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.84 : 30,200.66 = 7,660.07 : x
  2. Step 2: Convert to fraction form
    20,147.84/30,200.66 = 7,660.07/x
  3. Step 3: Cross multiply
    20,147.84x = 30,200.66 × 7,660.07
  4. Step 4: Simplify right side
    20,147.84x = 231,339,169.65
  5. Step 5: Solve for x
    x = 231,339,169.65/20,147.84
  6. Step 6: Final answer
    x = 11,482.08

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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.