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Finding the Fourth Proportional to 13,783.50, 20,675.16 and 3,922.74

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Solution

The fourth proportional to 13,783.50, 20,675.16 and 3,922.74 is: 5,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,675.16 = 3,922.74 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,675.16 = 3,922.74/x
  3. Step 3: Cross multiply
    13,783.50x = 20,675.16 × 3,922.74
  4. Step 4: Simplify right side
    13,783.50x = 81,103,277.14
  5. Step 5: Solve for x
    x = 81,103,277.14/13,783.50
  6. Step 6: Final answer
    x = 5,884.08

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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.