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Finding the Fourth Proportional to 12,395.78, 17,112.84 and 9,556.96

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Solution

The fourth proportional to 12,395.78, 17,112.84 and 9,556.96 is: 13,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.78 : 17,112.84 = 9,556.96 : x
  2. Step 2: Convert to fraction form
    12,395.78/17,112.84 = 9,556.96/x
  3. Step 3: Cross multiply
    12,395.78x = 17,112.84 × 9,556.96
  4. Step 4: Simplify right side
    12,395.78x = 163,546,641.80
  5. Step 5: Solve for x
    x = 163,546,641.80/12,395.78
  6. Step 6: Final answer
    x = 13,193.74

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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.