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Finding the Fourth Proportional to 17,927.37, 24,736.86 and 9,969.39

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Solution

The fourth proportional to 17,927.37, 24,736.86 and 9,969.39 is: 13,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.37 : 24,736.86 = 9,969.39 : x
  2. Step 2: Convert to fraction form
    17,927.37/24,736.86 = 9,969.39/x
  3. Step 3: Cross multiply
    17,927.37x = 24,736.86 × 9,969.39
  4. Step 4: Simplify right side
    17,927.37x = 246,611,404.72
  5. Step 5: Solve for x
    x = 246,611,404.72/17,927.37
  6. Step 6: Final answer
    x = 13,756.14

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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.