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Finding the Fourth Proportional to 20,840.93, 31,266.51 and 6,801.71

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Solution

The fourth proportional to 20,840.93, 31,266.51 and 6,801.71 is: 10,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.93 : 31,266.51 = 6,801.71 : x
  2. Step 2: Convert to fraction form
    20,840.93/31,266.51 = 6,801.71/x
  3. Step 3: Cross multiply
    20,840.93x = 31,266.51 × 6,801.71
  4. Step 4: Simplify right side
    20,840.93x = 212,665,733.73
  5. Step 5: Solve for x
    x = 212,665,733.73/20,840.93
  6. Step 6: Final answer
    x = 10,204.23

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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.