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Finding the Fourth Proportional to 12,274.14, 16,937.73 and 6,968.24

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Solution

The fourth proportional to 12,274.14, 16,937.73 and 6,968.24 is: 9,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.14 : 16,937.73 = 6,968.24 : x
  2. Step 2: Convert to fraction form
    12,274.14/16,937.73 = 6,968.24/x
  3. Step 3: Cross multiply
    12,274.14x = 16,937.73 × 6,968.24
  4. Step 4: Simplify right side
    12,274.14x = 118,026,083.01
  5. Step 5: Solve for x
    x = 118,026,083.01/12,274.14
  6. Step 6: Final answer
    x = 9,615.83

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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.