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Finding the Fourth Proportional to 14,850.54, 20,493.72 and 8,136

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Solution

The fourth proportional to 14,850.54, 20,493.72 and 8,136 is: 11,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850.54 : 20,493.72 = 8,136 : x
  2. Step 2: Convert to fraction form
    14,850.54/20,493.72 = 8,136/x
  3. Step 3: Cross multiply
    14,850.54x = 20,493.72 × 8,136
  4. Step 4: Simplify right side
    14,850.54x = 166,736,905.92
  5. Step 5: Solve for x
    x = 166,736,905.92/14,850.54
  6. Step 6: Final answer
    x = 11,227.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.