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Finding the Fourth Proportional to 23,776.82, 32,811.27 and 13,021.22

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Solution

The fourth proportional to 23,776.82, 32,811.27 and 13,021.22 is: 17,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.82 : 32,811.27 = 13,021.22 : x
  2. Step 2: Convert to fraction form
    23,776.82/32,811.27 = 13,021.22/x
  3. Step 3: Cross multiply
    23,776.82x = 32,811.27 × 13,021.22
  4. Step 4: Simplify right side
    23,776.82x = 427,242,765.15
  5. Step 5: Solve for x
    x = 427,242,765.15/23,776.82
  6. Step 6: Final answer
    x = 17,968.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.