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Finding the Fourth Proportional to 20,810.50, 31,218.86 and 7,661.86

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Solution

The fourth proportional to 20,810.50, 31,218.86 and 7,661.86 is: 11,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.50 : 31,218.86 = 7,661.86 : x
  2. Step 2: Convert to fraction form
    20,810.50/31,218.86 = 7,661.86/x
  3. Step 3: Cross multiply
    20,810.50x = 31,218.86 × 7,661.86
  4. Step 4: Simplify right side
    20,810.50x = 239,194,534.68
  5. Step 5: Solve for x
    x = 239,194,534.68/20,810.50
  6. Step 6: Final answer
    x = 11,493.94

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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.