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Finding the Fourth Proportional to 13,861.50, 20,800.89 and 5,653.50

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Solution

The fourth proportional to 13,861.50, 20,800.89 and 5,653.50 is: 8,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.50 : 20,800.89 = 5,653.50 : x
  2. Step 2: Convert to fraction form
    13,861.50/20,800.89 = 5,653.50/x
  3. Step 3: Cross multiply
    13,861.50x = 20,800.89 × 5,653.50
  4. Step 4: Simplify right side
    13,861.50x = 117,597,831.62
  5. Step 5: Solve for x
    x = 117,597,831.62/13,861.50
  6. Step 6: Final answer
    x = 8,483.77

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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.