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Finding the Fourth Proportional to 12,309.21, 16,986.87 and 7,004.16

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Solution

The fourth proportional to 12,309.21, 16,986.87 and 7,004.16 is: 9,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.21 : 16,986.87 = 7,004.16 : x
  2. Step 2: Convert to fraction form
    12,309.21/16,986.87 = 7,004.16/x
  3. Step 3: Cross multiply
    12,309.21x = 16,986.87 × 7,004.16
  4. Step 4: Simplify right side
    12,309.21x = 118,978,755.38
  5. Step 5: Solve for x
    x = 118,978,755.38/12,309.21
  6. Step 6: Final answer
    x = 9,665.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.