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Finding the Fourth Proportional to 13,433.50, 20,151.33 and 4,199.50

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Solution

The fourth proportional to 13,433.50, 20,151.33 and 4,199.50 is: 6,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.50 : 20,151.33 = 4,199.50 : x
  2. Step 2: Convert to fraction form
    13,433.50/20,151.33 = 4,199.50/x
  3. Step 3: Cross multiply
    13,433.50x = 20,151.33 × 4,199.50
  4. Step 4: Simplify right side
    13,433.50x = 84,625,510.34
  5. Step 5: Solve for x
    x = 84,625,510.34/13,433.50
  6. Step 6: Final answer
    x = 6,299.59

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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.