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Finding the Fourth Proportional to 13,738.99, 20,594.10 and 6,348.30

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Solution

The fourth proportional to 13,738.99, 20,594.10 and 6,348.30 is: 9,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.99 : 20,594.10 = 6,348.30 : x
  2. Step 2: Convert to fraction form
    13,738.99/20,594.10 = 6,348.30/x
  3. Step 3: Cross multiply
    13,738.99x = 20,594.10 × 6,348.30
  4. Step 4: Simplify right side
    13,738.99x = 130,737,493.82
  5. Step 5: Solve for x
    x = 130,737,493.82/13,738.99
  6. Step 6: Final answer
    x = 9,515.80

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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.