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Finding the Fourth Proportional to 12,435.78, 17,169.65 and 9,559.41

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Solution

The fourth proportional to 12,435.78, 17,169.65 and 9,559.41 is: 13,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.78 : 17,169.65 = 9,559.41 : x
  2. Step 2: Convert to fraction form
    12,435.78/17,169.65 = 9,559.41/x
  3. Step 3: Cross multiply
    12,435.78x = 17,169.65 × 9,559.41
  4. Step 4: Simplify right side
    12,435.78x = 164,131,676.11
  5. Step 5: Solve for x
    x = 164,131,676.11/12,435.78
  6. Step 6: Final answer
    x = 13,198.34

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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.