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Finding the Fourth Proportional to 13,000.50, 19,503.99 and 3,766.50

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Solution

The fourth proportional to 13,000.50, 19,503.99 and 3,766.50 is: 5,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.50 : 19,503.99 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    13,000.50/19,503.99 = 3,766.50/x
  3. Step 3: Cross multiply
    13,000.50x = 19,503.99 × 3,766.50
  4. Step 4: Simplify right side
    13,000.50x = 73,461,778.34
  5. Step 5: Solve for x
    x = 73,461,778.34/13,000.50
  6. Step 6: Final answer
    x = 5,650.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.