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Finding the Fourth Proportional to 20,910.36, 31,365.54 and 7,059

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Solution

The fourth proportional to 20,910.36, 31,365.54 and 7,059 is: 10,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,910.36 : 31,365.54 = 7,059 : x
  2. Step 2: Convert to fraction form
    20,910.36/31,365.54 = 7,059/x
  3. Step 3: Cross multiply
    20,910.36x = 31,365.54 × 7,059
  4. Step 4: Simplify right side
    20,910.36x = 221,409,346.86
  5. Step 5: Solve for x
    x = 221,409,346.86/20,910.36
  6. Step 6: Final answer
    x = 10,588.50

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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.