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Finding the Fourth Proportional to 13,789.95, 20,689.93 and 6,769.22

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Solution

The fourth proportional to 13,789.95, 20,689.93 and 6,769.22 is: 10,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.95 : 20,689.93 = 6,769.22 : x
  2. Step 2: Convert to fraction form
    13,789.95/20,689.93 = 6,769.22/x
  3. Step 3: Cross multiply
    13,789.95x = 20,689.93 × 6,769.22
  4. Step 4: Simplify right side
    13,789.95x = 140,054,709.35
  5. Step 5: Solve for x
    x = 140,054,709.35/13,789.95
  6. Step 6: Final answer
    x = 10,156.29

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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.