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Finding the Fourth Proportional to 13,103.98, 19,649.90 and 4,217.67

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Solution

The fourth proportional to 13,103.98, 19,649.90 and 4,217.67 is: 6,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.98 : 19,649.90 = 4,217.67 : x
  2. Step 2: Convert to fraction form
    13,103.98/19,649.90 = 4,217.67/x
  3. Step 3: Cross multiply
    13,103.98x = 19,649.90 × 4,217.67
  4. Step 4: Simplify right side
    13,103.98x = 82,876,804.28
  5. Step 5: Solve for x
    x = 82,876,804.28/13,103.98
  6. Step 6: Final answer
    x = 6,324.55

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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.