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Finding the Fourth Proportional to 26,083.22, 39,072.65 and 12,024.01

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Solution

The fourth proportional to 26,083.22, 39,072.65 and 12,024.01 is: 18,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,083.22 : 39,072.65 = 12,024.01 : x
  2. Step 2: Convert to fraction form
    26,083.22/39,072.65 = 12,024.01/x
  3. Step 3: Cross multiply
    26,083.22x = 39,072.65 × 12,024.01
  4. Step 4: Simplify right side
    26,083.22x = 469,809,923.05
  5. Step 5: Solve for x
    x = 469,809,923.05/26,083.22
  6. Step 6: Final answer
    x = 18,011.96

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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.