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Finding the Fourth Proportional to 12,564.25, 17,336.85 and 8,094.07

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Solution

The fourth proportional to 12,564.25, 17,336.85 and 8,094.07 is: 11,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.25 : 17,336.85 = 8,094.07 : x
  2. Step 2: Convert to fraction form
    12,564.25/17,336.85 = 8,094.07/x
  3. Step 3: Cross multiply
    12,564.25x = 17,336.85 × 8,094.07
  4. Step 4: Simplify right side
    12,564.25x = 140,325,677.48
  5. Step 5: Solve for x
    x = 140,325,677.48/12,564.25
  6. Step 6: Final answer
    x = 11,168.65

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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.