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Finding the Fourth Proportional to 23,623.26, 35,414.77 and 10,468.46

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Solution

The fourth proportional to 23,623.26, 35,414.77 and 10,468.46 is: 15,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,623.26 : 35,414.77 = 10,468.46 : x
  2. Step 2: Convert to fraction form
    23,623.26/35,414.77 = 10,468.46/x
  3. Step 3: Cross multiply
    23,623.26x = 35,414.77 × 10,468.46
  4. Step 4: Simplify right side
    23,623.26x = 370,738,103.15
  5. Step 5: Solve for x
    x = 370,738,103.15/23,623.26
  6. Step 6: Final answer
    x = 15,693.77

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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.