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Finding the Fourth Proportional to 26,076.78, 39,114.77 and 10,494

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Solution

The fourth proportional to 26,076.78, 39,114.77 and 10,494 is: 15,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076.78 : 39,114.77 = 10,494 : x
  2. Step 2: Convert to fraction form
    26,076.78/39,114.77 = 10,494/x
  3. Step 3: Cross multiply
    26,076.78x = 39,114.77 × 10,494
  4. Step 4: Simplify right side
    26,076.78x = 410,470,343.91
  5. Step 5: Solve for x
    x = 410,470,343.91/26,076.78
  6. Step 6: Final answer
    x = 15,740.84

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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.