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Finding the Fourth Proportional to 23,705.91, 35,558.57 and 9,662.64

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Solution

The fourth proportional to 23,705.91, 35,558.57 and 9,662.64 is: 14,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.91 : 35,558.57 = 9,662.64 : x
  2. Step 2: Convert to fraction form
    23,705.91/35,558.57 = 9,662.64/x
  3. Step 3: Cross multiply
    23,705.91x = 35,558.57 × 9,662.64
  4. Step 4: Simplify right side
    23,705.91x = 343,589,612.51
  5. Step 5: Solve for x
    x = 343,589,612.51/23,705.91
  6. Step 6: Final answer
    x = 14,493.84

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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.