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Finding the Fourth Proportional to 20,119.77, 30,181.38 and 8,274.24

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Solution

The fourth proportional to 20,119.77, 30,181.38 and 8,274.24 is: 12,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.77 : 30,181.38 = 8,274.24 : x
  2. Step 2: Convert to fraction form
    20,119.77/30,181.38 = 8,274.24/x
  3. Step 3: Cross multiply
    20,119.77x = 30,181.38 × 8,274.24
  4. Step 4: Simplify right side
    20,119.77x = 249,727,981.65
  5. Step 5: Solve for x
    x = 249,727,981.65/20,119.77
  6. Step 6: Final answer
    x = 12,412.07

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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.