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Finding the Fourth Proportional to 13,540.98, 20,294.16 and 11,778.63

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Solution

The fourth proportional to 13,540.98, 20,294.16 and 11,778.63 is: 17,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.98 : 20,294.16 = 11,778.63 : x
  2. Step 2: Convert to fraction form
    13,540.98/20,294.16 = 11,778.63/x
  3. Step 3: Cross multiply
    13,540.98x = 20,294.16 × 11,778.63
  4. Step 4: Simplify right side
    13,540.98x = 239,037,401.80
  5. Step 5: Solve for x
    x = 239,037,401.80/13,540.98
  6. Step 6: Final answer
    x = 17,652.89

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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.