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Finding the Fourth Proportional to 20,197.65, 30,277.85 and 10,844.22

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Solution

The fourth proportional to 20,197.65, 30,277.85 and 10,844.22 is: 16,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.65 : 30,277.85 = 10,844.22 : x
  2. Step 2: Convert to fraction form
    20,197.65/30,277.85 = 10,844.22/x
  3. Step 3: Cross multiply
    20,197.65x = 30,277.85 × 10,844.22
  4. Step 4: Simplify right side
    20,197.65x = 328,339,612.31
  5. Step 5: Solve for x
    x = 328,339,612.31/20,197.65
  6. Step 6: Final answer
    x = 16,256.33

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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.