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Finding the Fourth Proportional to 13,197.85, 19,796.99 and 4,432.84

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Solution

The fourth proportional to 13,197.85, 19,796.99 and 4,432.84 is: 6,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.85 : 19,796.99 = 4,432.84 : x
  2. Step 2: Convert to fraction form
    13,197.85/19,796.99 = 4,432.84/x
  3. Step 3: Cross multiply
    13,197.85x = 19,796.99 × 4,432.84
  4. Step 4: Simplify right side
    13,197.85x = 87,756,889.15
  5. Step 5: Solve for x
    x = 87,756,889.15/13,197.85
  6. Step 6: Final answer
    x = 6,649.33

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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.