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Finding the Fourth Proportional to 20,452.96, 30,624.74 and 11,675.80

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Solution

The fourth proportional to 20,452.96, 30,624.74 and 11,675.80 is: 17,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.96 : 30,624.74 = 11,675.80 : x
  2. Step 2: Convert to fraction form
    20,452.96/30,624.74 = 11,675.80/x
  3. Step 3: Cross multiply
    20,452.96x = 30,624.74 × 11,675.80
  4. Step 4: Simplify right side
    20,452.96x = 357,568,339.29
  5. Step 5: Solve for x
    x = 357,568,339.29/20,452.96
  6. Step 6: Final answer
    x = 17,482.47

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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.