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Finding the Fourth Proportional to 26,093.49, 39,108.16 and 12,034

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Solution

The fourth proportional to 26,093.49, 39,108.16 and 12,034 is: 18,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,093.49 : 39,108.16 = 12,034 : x
  2. Step 2: Convert to fraction form
    26,093.49/39,108.16 = 12,034/x
  3. Step 3: Cross multiply
    26,093.49x = 39,108.16 × 12,034
  4. Step 4: Simplify right side
    26,093.49x = 470,627,597.44
  5. Step 5: Solve for x
    x = 470,627,597.44/26,093.49
  6. Step 6: Final answer
    x = 18,036.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.