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Finding the Fourth Proportional to 13,705.20, 20,559.08 and 3,844.43

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Solution

The fourth proportional to 13,705.20, 20,559.08 and 3,844.43 is: 5,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 20,559.08 = 3,844.43 : x
  2. Step 2: Convert to fraction form
    13,705.20/20,559.08 = 3,844.43/x
  3. Step 3: Cross multiply
    13,705.20x = 20,559.08 × 3,844.43
  4. Step 4: Simplify right side
    13,705.20x = 79,037,943.92
  5. Step 5: Solve for x
    x = 79,037,943.92/13,705.20
  6. Step 6: Final answer
    x = 5,767.01

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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.