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Finding the Fourth Proportional to 23,971.27, 35,941.34 and 9,927.49

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Solution

The fourth proportional to 23,971.27, 35,941.34 and 9,927.49 is: 14,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.27 : 35,941.34 = 9,927.49 : x
  2. Step 2: Convert to fraction form
    23,971.27/35,941.34 = 9,927.49/x
  3. Step 3: Cross multiply
    23,971.27x = 35,941.34 × 9,927.49
  4. Step 4: Simplify right side
    23,971.27x = 356,807,243.80
  5. Step 5: Solve for x
    x = 356,807,243.80/23,971.27
  6. Step 6: Final answer
    x = 14,884.79

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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.