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Finding the Fourth Proportional to 13,889.16, 20,839.77 and 7,641.54

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Solution

The fourth proportional to 13,889.16, 20,839.77 and 7,641.54 is: 11,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.16 : 20,839.77 = 7,641.54 : x
  2. Step 2: Convert to fraction form
    13,889.16/20,839.77 = 7,641.54/x
  3. Step 3: Cross multiply
    13,889.16x = 20,839.77 × 7,641.54
  4. Step 4: Simplify right side
    13,889.16x = 159,247,936.05
  5. Step 5: Solve for x
    x = 159,247,936.05/13,889.16
  6. Step 6: Final answer
    x = 11,465.63

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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.