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Finding the Fourth Proportional to 29,713.50, 41,004.63 and 17,777.34

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Solution

The fourth proportional to 29,713.50, 41,004.63 and 17,777.34 is: 24,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.50 : 41,004.63 = 17,777.34 : x
  2. Step 2: Convert to fraction form
    29,713.50/41,004.63 = 17,777.34/x
  3. Step 3: Cross multiply
    29,713.50x = 41,004.63 × 17,777.34
  4. Step 4: Simplify right side
    29,713.50x = 728,953,249.08
  5. Step 5: Solve for x
    x = 728,953,249.08/29,713.50
  6. Step 6: Final answer
    x = 24,532.73

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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.