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Finding the Fourth Proportional to 15,791.70, 23,703.12 and 8,396.22

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Solution

The fourth proportional to 15,791.70, 23,703.12 and 8,396.22 is: 12,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.70 : 23,703.12 = 8,396.22 : x
  2. Step 2: Convert to fraction form
    15,791.70/23,703.12 = 8,396.22/x
  3. Step 3: Cross multiply
    15,791.70x = 23,703.12 × 8,396.22
  4. Step 4: Simplify right side
    15,791.70x = 199,016,610.21
  5. Step 5: Solve for x
    x = 199,016,610.21/15,791.70
  6. Step 6: Final answer
    x = 12,602.61

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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.