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Finding the Fourth Proportional to 24,213.28, 36,322 and 6,683.11

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Solution

The fourth proportional to 24,213.28, 36,322 and 6,683.11 is: 10,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.28 : 36,322 = 6,683.11 : x
  2. Step 2: Convert to fraction form
    24,213.28/36,322 = 6,683.11/x
  3. Step 3: Cross multiply
    24,213.28x = 36,322 × 6,683.11
  4. Step 4: Simplify right side
    24,213.28x = 242,743,921.42
  5. Step 5: Solve for x
    x = 242,743,921.42/24,213.28
  6. Step 6: Final answer
    x = 10,025.24

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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.