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Finding the Fourth Proportional to 12,563.44, 17,339.68 and 7,261.33

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Solution

The fourth proportional to 12,563.44, 17,339.68 and 7,261.33 is: 10,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.44 : 17,339.68 = 7,261.33 : x
  2. Step 2: Convert to fraction form
    12,563.44/17,339.68 = 7,261.33/x
  3. Step 3: Cross multiply
    12,563.44x = 17,339.68 × 7,261.33
  4. Step 4: Simplify right side
    12,563.44x = 125,909,138.57
  5. Step 5: Solve for x
    x = 125,909,138.57/12,563.44
  6. Step 6: Final answer
    x = 10,021.87

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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.