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Finding the Fourth Proportional to 20,985.85, 31,484.22 and 7,838.34

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Solution

The fourth proportional to 20,985.85, 31,484.22 and 7,838.34 is: 11,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.85 : 31,484.22 = 7,838.34 : x
  2. Step 2: Convert to fraction form
    20,985.85/31,484.22 = 7,838.34/x
  3. Step 3: Cross multiply
    20,985.85x = 31,484.22 × 7,838.34
  4. Step 4: Simplify right side
    20,985.85x = 246,784,020.99
  5. Step 5: Solve for x
    x = 246,784,020.99/20,985.85
  6. Step 6: Final answer
    x = 11,759.54

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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.