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Finding the Fourth Proportional to 13,709.40, 18,922.56 and 8,044.98

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Solution

The fourth proportional to 13,709.40, 18,922.56 and 8,044.98 is: 11,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.40 : 18,922.56 = 8,044.98 : x
  2. Step 2: Convert to fraction form
    13,709.40/18,922.56 = 8,044.98/x
  3. Step 3: Cross multiply
    13,709.40x = 18,922.56 × 8,044.98
  4. Step 4: Simplify right side
    13,709.40x = 152,231,616.75
  5. Step 5: Solve for x
    x = 152,231,616.75/13,709.40
  6. Step 6: Final answer
    x = 11,104.18

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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.