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Finding the Fourth Proportional to 12,407.52, 17,112.96 and 8,208.48

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Solution

The fourth proportional to 12,407.52, 17,112.96 and 8,208.48 is: 11,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.52 : 17,112.96 = 8,208.48 : x
  2. Step 2: Convert to fraction form
    12,407.52/17,112.96 = 8,208.48/x
  3. Step 3: Cross multiply
    12,407.52x = 17,112.96 × 8,208.48
  4. Step 4: Simplify right side
    12,407.52x = 140,471,389.90
  5. Step 5: Solve for x
    x = 140,471,389.90/12,407.52
  6. Step 6: Final answer
    x = 11,321.47

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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.