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Finding the Fourth Proportional to 23,705.22, 35,550.27 and 9,665.22

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Solution

The fourth proportional to 23,705.22, 35,550.27 and 9,665.22 is: 14,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.22 : 35,550.27 = 9,665.22 : x
  2. Step 2: Convert to fraction form
    23,705.22/35,550.27 = 9,665.22/x
  3. Step 3: Cross multiply
    23,705.22x = 35,550.27 × 9,665.22
  4. Step 4: Simplify right side
    23,705.22x = 343,601,180.61
  5. Step 5: Solve for x
    x = 343,601,180.61/23,705.22
  6. Step 6: Final answer
    x = 14,494.75

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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.