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Finding the Fourth Proportional to 13,850.66, 20,774.16 and 3,856.07

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Solution

The fourth proportional to 13,850.66, 20,774.16 and 3,856.07 is: 5,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.66 : 20,774.16 = 3,856.07 : x
  2. Step 2: Convert to fraction form
    13,850.66/20,774.16 = 3,856.07/x
  3. Step 3: Cross multiply
    13,850.66x = 20,774.16 × 3,856.07
  4. Step 4: Simplify right side
    13,850.66x = 80,106,615.15
  5. Step 5: Solve for x
    x = 80,106,615.15/13,850.66
  6. Step 6: Final answer
    x = 5,783.60

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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.