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Finding the Fourth Proportional to 26,697.69, 40,046.00 and 7,977.78

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Solution

The fourth proportional to 26,697.69, 40,046.00 and 7,977.78 is: 11,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,697.69 : 40,046.00 = 7,977.78 : x
  2. Step 2: Convert to fraction form
    26,697.69/40,046.00 = 7,977.78/x
  3. Step 3: Cross multiply
    26,697.69x = 40,046.00 × 7,977.78
  4. Step 4: Simplify right side
    26,697.69x = 319,478,137.99
  5. Step 5: Solve for x
    x = 319,478,137.99/26,697.69
  6. Step 6: Final answer
    x = 11,966.51

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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.