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Finding the Fourth Proportional to 20,686.75, 31,040.36 and 8,206.47

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Solution

The fourth proportional to 20,686.75, 31,040.36 and 8,206.47 is: 12,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.75 : 31,040.36 = 8,206.47 : x
  2. Step 2: Convert to fraction form
    20,686.75/31,040.36 = 8,206.47/x
  3. Step 3: Cross multiply
    20,686.75x = 31,040.36 × 8,206.47
  4. Step 4: Simplify right side
    20,686.75x = 254,731,783.13
  5. Step 5: Solve for x
    x = 254,731,783.13/20,686.75
  6. Step 6: Final answer
    x = 12,313.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.