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Finding the Fourth Proportional to 23,821.96, 35,736.34 and 7,808.07

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Solution

The fourth proportional to 23,821.96, 35,736.34 and 7,808.07 is: 11,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.96 : 35,736.34 = 7,808.07 : x
  2. Step 2: Convert to fraction form
    23,821.96/35,736.34 = 7,808.07/x
  3. Step 3: Cross multiply
    23,821.96x = 35,736.34 × 7,808.07
  4. Step 4: Simplify right side
    23,821.96x = 279,031,844.26
  5. Step 5: Solve for x
    x = 279,031,844.26/23,821.96
  6. Step 6: Final answer
    x = 11,713.22

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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.