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Finding the Fourth Proportional to 23,808.32, 35,717.76 and 7,169.60

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Solution

The fourth proportional to 23,808.32, 35,717.76 and 7,169.60 is: 10,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.32 : 35,717.76 = 7,169.60 : x
  2. Step 2: Convert to fraction form
    23,808.32/35,717.76 = 7,169.60/x
  3. Step 3: Cross multiply
    23,808.32x = 35,717.76 × 7,169.60
  4. Step 4: Simplify right side
    23,808.32x = 256,082,052.10
  5. Step 5: Solve for x
    x = 256,082,052.10/23,808.32
  6. Step 6: Final answer
    x = 10,755.99

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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.