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Finding the Fourth Proportional to 12,321.50, 17,004.09 and 6,732.86

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Solution

The fourth proportional to 12,321.50, 17,004.09 and 6,732.86 is: 9,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.50 : 17,004.09 = 6,732.86 : x
  2. Step 2: Convert to fraction form
    12,321.50/17,004.09 = 6,732.86/x
  3. Step 3: Cross multiply
    12,321.50x = 17,004.09 × 6,732.86
  4. Step 4: Simplify right side
    12,321.50x = 114,486,157.40
  5. Step 5: Solve for x
    x = 114,486,157.40/12,321.50
  6. Step 6: Final answer
    x = 9,291.58

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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.