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Finding the Fourth Proportional to 13,585.42, 20,375.96 and 3,722.41

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Solution

The fourth proportional to 13,585.42, 20,375.96 and 3,722.41 is: 5,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.42 : 20,375.96 = 3,722.41 : x
  2. Step 2: Convert to fraction form
    13,585.42/20,375.96 = 3,722.41/x
  3. Step 3: Cross multiply
    13,585.42x = 20,375.96 × 3,722.41
  4. Step 4: Simplify right side
    13,585.42x = 75,847,569.51
  5. Step 5: Solve for x
    x = 75,847,569.51/13,585.42
  6. Step 6: Final answer
    x = 5,583.01

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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.