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Finding the Fourth Proportional to 13,774.08, 20,649.62 and 6,383.84

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Solution

The fourth proportional to 13,774.08, 20,649.62 and 6,383.84 is: 9,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.08 : 20,649.62 = 6,383.84 : x
  2. Step 2: Convert to fraction form
    13,774.08/20,649.62 = 6,383.84/x
  3. Step 3: Cross multiply
    13,774.08x = 20,649.62 × 6,383.84
  4. Step 4: Simplify right side
    13,774.08x = 131,823,870.14
  5. Step 5: Solve for x
    x = 131,823,870.14/13,774.08
  6. Step 6: Final answer
    x = 9,570.43

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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.