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Finding the Fourth Proportional to 13,837.95, 20,756.97 and 6,441.39

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Solution

The fourth proportional to 13,837.95, 20,756.97 and 6,441.39 is: 9,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.95 : 20,756.97 = 6,441.39 : x
  2. Step 2: Convert to fraction form
    13,837.95/20,756.97 = 6,441.39/x
  3. Step 3: Cross multiply
    13,837.95x = 20,756.97 × 6,441.39
  4. Step 4: Simplify right side
    13,837.95x = 133,703,738.99
  5. Step 5: Solve for x
    x = 133,703,738.99/13,837.95
  6. Step 6: Final answer
    x = 9,662.11

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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.