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Finding the Fourth Proportional to 13,840.73, 20,775.68 and 6,452.31

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Solution

The fourth proportional to 13,840.73, 20,775.68 and 6,452.31 is: 9,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.73 : 20,775.68 = 6,452.31 : x
  2. Step 2: Convert to fraction form
    13,840.73/20,775.68 = 6,452.31/x
  3. Step 3: Cross multiply
    13,840.73x = 20,775.68 × 6,452.31
  4. Step 4: Simplify right side
    13,840.73x = 134,051,127.82
  5. Step 5: Solve for x
    x = 134,051,127.82/13,840.73
  6. Step 6: Final answer
    x = 9,685.26

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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.