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Finding the Fourth Proportional to 13,770.48, 18,990.96 and 11,408.48

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Solution

The fourth proportional to 13,770.48, 18,990.96 and 11,408.48 is: 15,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.48 : 18,990.96 = 11,408.48 : x
  2. Step 2: Convert to fraction form
    13,770.48/18,990.96 = 11,408.48/x
  3. Step 3: Cross multiply
    13,770.48x = 18,990.96 × 11,408.48
  4. Step 4: Simplify right side
    13,770.48x = 216,657,987.34
  5. Step 5: Solve for x
    x = 216,657,987.34/13,770.48
  6. Step 6: Final answer
    x = 15,733.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.