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Finding the Fourth Proportional to 12,894.89, 17,661.60 and 12,138.35

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Solution

The fourth proportional to 12,894.89, 17,661.60 and 12,138.35 is: 16,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.89 : 17,661.60 = 12,138.35 : x
  2. Step 2: Convert to fraction form
    12,894.89/17,661.60 = 12,138.35/x
  3. Step 3: Cross multiply
    12,894.89x = 17,661.60 × 12,138.35
  4. Step 4: Simplify right side
    12,894.89x = 214,382,594.05
  5. Step 5: Solve for x
    x = 214,382,594.05/12,894.89
  6. Step 6: Final answer
    x = 16,625.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.