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Finding the Fourth Proportional to 20,835.90, 31,261.05 and 9,147.42

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Solution

The fourth proportional to 20,835.90, 31,261.05 and 9,147.42 is: 13,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.90 : 31,261.05 = 9,147.42 : x
  2. Step 2: Convert to fraction form
    20,835.90/31,261.05 = 9,147.42/x
  3. Step 3: Cross multiply
    20,835.90x = 31,261.05 × 9,147.42
  4. Step 4: Simplify right side
    20,835.90x = 285,957,953.99
  5. Step 5: Solve for x
    x = 285,957,953.99/20,835.90
  6. Step 6: Final answer
    x = 13,724.29

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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.