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Finding the Fourth Proportional to 15,509.43, 23,284.80 and 8,119.80

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Solution

The fourth proportional to 15,509.43, 23,284.80 and 8,119.80 is: 12,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.43 : 23,284.80 = 8,119.80 : x
  2. Step 2: Convert to fraction form
    15,509.43/23,284.80 = 8,119.80/x
  3. Step 3: Cross multiply
    15,509.43x = 23,284.80 × 8,119.80
  4. Step 4: Simplify right side
    15,509.43x = 189,067,919.04
  5. Step 5: Solve for x
    x = 189,067,919.04/15,509.43
  6. Step 6: Final answer
    x = 12,190.51

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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.