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Finding the Fourth Proportional to 22,990.92, 31,723.62 and 13,561.34

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Solution

The fourth proportional to 22,990.92, 31,723.62 and 13,561.34 is: 18,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.92 : 31,723.62 = 13,561.34 : x
  2. Step 2: Convert to fraction form
    22,990.92/31,723.62 = 13,561.34/x
  3. Step 3: Cross multiply
    22,990.92x = 31,723.62 × 13,561.34
  4. Step 4: Simplify right side
    22,990.92x = 430,214,796.85
  5. Step 5: Solve for x
    x = 430,214,796.85/22,990.92
  6. Step 6: Final answer
    x = 18,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.