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Finding the Fourth Proportional to 12,532.89, 18,796.97 and 6,291.22

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Solution

The fourth proportional to 12,532.89, 18,796.97 and 6,291.22 is: 9,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.89 : 18,796.97 = 6,291.22 : x
  2. Step 2: Convert to fraction form
    12,532.89/18,796.97 = 6,291.22/x
  3. Step 3: Cross multiply
    12,532.89x = 18,796.97 × 6,291.22
  4. Step 4: Simplify right side
    12,532.89x = 118,255,873.60
  5. Step 5: Solve for x
    x = 118,255,873.60/12,532.89
  6. Step 6: Final answer
    x = 9,435.64

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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.