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Finding the Fourth Proportional to 13,884.88, 19,160.64 and 8,294.80

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Solution

The fourth proportional to 13,884.88, 19,160.64 and 8,294.80 is: 11,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.88 : 19,160.64 = 8,294.80 : x
  2. Step 2: Convert to fraction form
    13,884.88/19,160.64 = 8,294.80/x
  3. Step 3: Cross multiply
    13,884.88x = 19,160.64 × 8,294.80
  4. Step 4: Simplify right side
    13,884.88x = 158,933,676.67
  5. Step 5: Solve for x
    x = 158,933,676.67/13,884.88
  6. Step 6: Final answer
    x = 11,446.53

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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.