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Finding the Fourth Proportional to 23,713.24, 35,580.18 and 11,242

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Solution

The fourth proportional to 23,713.24, 35,580.18 and 11,242 is: 16,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.24 : 35,580.18 = 11,242 : x
  2. Step 2: Convert to fraction form
    23,713.24/35,580.18 = 11,242/x
  3. Step 3: Cross multiply
    23,713.24x = 35,580.18 × 11,242
  4. Step 4: Simplify right side
    23,713.24x = 399,992,383.56
  5. Step 5: Solve for x
    x = 399,992,383.56/23,713.24
  6. Step 6: Final answer
    x = 16,867.89

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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.