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Finding the Fourth Proportional to 20,672.92, 31,009.72 and 5,882.22

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Solution

The fourth proportional to 20,672.92, 31,009.72 and 5,882.22 is: 8,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.92 : 31,009.72 = 5,882.22 : x
  2. Step 2: Convert to fraction form
    20,672.92/31,009.72 = 5,882.22/x
  3. Step 3: Cross multiply
    20,672.92x = 31,009.72 × 5,882.22
  4. Step 4: Simplify right side
    20,672.92x = 182,405,995.18
  5. Step 5: Solve for x
    x = 182,405,995.18/20,672.92
  6. Step 6: Final answer
    x = 8,823.43

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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.