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Finding the Fourth Proportional to 20,853.47, 31,285.07 and 6,814.15

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Solution

The fourth proportional to 20,853.47, 31,285.07 and 6,814.15 is: 10,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.47 : 31,285.07 = 6,814.15 : x
  2. Step 2: Convert to fraction form
    20,853.47/31,285.07 = 6,814.15/x
  3. Step 3: Cross multiply
    20,853.47x = 31,285.07 × 6,814.15
  4. Step 4: Simplify right side
    20,853.47x = 213,181,073.01
  5. Step 5: Solve for x
    x = 213,181,073.01/20,853.47
  6. Step 6: Final answer
    x = 10,222.81

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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.