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Finding the Fourth Proportional to 23,505.40, 35,257.64 and 5,736.17

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Solution

The fourth proportional to 23,505.40, 35,257.64 and 5,736.17 is: 8,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.40 : 35,257.64 = 5,736.17 : x
  2. Step 2: Convert to fraction form
    23,505.40/35,257.64 = 5,736.17/x
  3. Step 3: Cross multiply
    23,505.40x = 35,257.64 × 5,736.17
  4. Step 4: Simplify right side
    23,505.40x = 202,243,816.84
  5. Step 5: Solve for x
    x = 202,243,816.84/23,505.40
  6. Step 6: Final answer
    x = 8,604.14

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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.