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Finding the Fourth Proportional to 20,477.68, 30,715.24 and 10,080.24

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Solution

The fourth proportional to 20,477.68, 30,715.24 and 10,080.24 is: 15,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.68 : 30,715.24 = 10,080.24 : x
  2. Step 2: Convert to fraction form
    20,477.68/30,715.24 = 10,080.24/x
  3. Step 3: Cross multiply
    20,477.68x = 30,715.24 × 10,080.24
  4. Step 4: Simplify right side
    20,477.68x = 309,616,990.86
  5. Step 5: Solve for x
    x = 309,616,990.86/20,477.68
  6. Step 6: Final answer
    x = 15,119.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.