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Finding the Fourth Proportional to 13,911.07, 20,861.07 and 8,071.78

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Solution

The fourth proportional to 13,911.07, 20,861.07 and 8,071.78 is: 12,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.07 : 20,861.07 = 8,071.78 : x
  2. Step 2: Convert to fraction form
    13,911.07/20,861.07 = 8,071.78/x
  3. Step 3: Cross multiply
    13,911.07x = 20,861.07 × 8,071.78
  4. Step 4: Simplify right side
    13,911.07x = 168,385,967.60
  5. Step 5: Solve for x
    x = 168,385,967.60/13,911.07
  6. Step 6: Final answer
    x = 12,104.46

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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.