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Finding the Fourth Proportional to 20,345.70, 30,523.22 and 7,865.82

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Solution

The fourth proportional to 20,345.70, 30,523.22 and 7,865.82 is: 11,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.70 : 30,523.22 = 7,865.82 : x
  2. Step 2: Convert to fraction form
    20,345.70/30,523.22 = 7,865.82/x
  3. Step 3: Cross multiply
    20,345.70x = 30,523.22 × 7,865.82
  4. Step 4: Simplify right side
    20,345.70x = 240,090,115.01
  5. Step 5: Solve for x
    x = 240,090,115.01/20,345.70
  6. Step 6: Final answer
    x = 11,800.53

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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.