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Finding the Fourth Proportional to 23,683.40, 35,525.10 and 20,165.30

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Solution

The fourth proportional to 23,683.40, 35,525.10 and 20,165.30 is: 30,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.40 : 35,525.10 = 20,165.30 : x
  2. Step 2: Convert to fraction form
    23,683.40/35,525.10 = 20,165.30/x
  3. Step 3: Cross multiply
    23,683.40x = 35,525.10 × 20,165.30
  4. Step 4: Simplify right side
    23,683.40x = 716,374,299.03
  5. Step 5: Solve for x
    x = 716,374,299.03/23,683.40
  6. Step 6: Final answer
    x = 30,247.95

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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.