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Finding the Fourth Proportional to 20,893.09, 31,339.93 and 6,854.22

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Solution

The fourth proportional to 20,893.09, 31,339.93 and 6,854.22 is: 10,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.09 : 31,339.93 = 6,854.22 : x
  2. Step 2: Convert to fraction form
    20,893.09/31,339.93 = 6,854.22/x
  3. Step 3: Cross multiply
    20,893.09x = 31,339.93 × 6,854.22
  4. Step 4: Simplify right side
    20,893.09x = 214,810,713.79
  5. Step 5: Solve for x
    x = 214,810,713.79/20,893.09
  6. Step 6: Final answer
    x = 10,281.43

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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.