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Finding the Fourth Proportional to 20,943.86, 31,415.73 and 9,096.09

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Solution

The fourth proportional to 20,943.86, 31,415.73 and 9,096.09 is: 13,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,943.86 : 31,415.73 = 9,096.09 : x
  2. Step 2: Convert to fraction form
    20,943.86/31,415.73 = 9,096.09/x
  3. Step 3: Cross multiply
    20,943.86x = 31,415.73 × 9,096.09
  4. Step 4: Simplify right side
    20,943.86x = 285,760,307.50
  5. Step 5: Solve for x
    x = 285,760,307.50/20,943.86
  6. Step 6: Final answer
    x = 13,644.11

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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.