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Finding the Fourth Proportional to 23,881.52, 35,816.00 and 9,082.41

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Solution

The fourth proportional to 23,881.52, 35,816.00 and 9,082.41 is: 13,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881.52 : 35,816.00 = 9,082.41 : x
  2. Step 2: Convert to fraction form
    23,881.52/35,816.00 = 9,082.41/x
  3. Step 3: Cross multiply
    23,881.52x = 35,816.00 × 9,082.41
  4. Step 4: Simplify right side
    23,881.52x = 325,295,551.15
  5. Step 5: Solve for x
    x = 325,295,551.15/23,881.52
  6. Step 6: Final answer
    x = 13,621.23

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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.