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Finding the Fourth Proportional to 23,808.12, 35,717.16 and 7,169.36

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Solution

The fourth proportional to 23,808.12, 35,717.16 and 7,169.36 is: 10,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.12 : 35,717.16 = 7,169.36 : x
  2. Step 2: Convert to fraction form
    23,808.12/35,717.16 = 7,169.36/x
  3. Step 3: Cross multiply
    23,808.12x = 35,717.16 × 7,169.36
  4. Step 4: Simplify right side
    23,808.12x = 256,069,178.22
  5. Step 5: Solve for x
    x = 256,069,178.22/23,808.12
  6. Step 6: Final answer
    x = 10,755.54

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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.