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Finding the Fourth Proportional to 26,504.74, 39,758.49 and 6,783.42

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Solution

The fourth proportional to 26,504.74, 39,758.49 and 6,783.42 is: 10,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,504.74 : 39,758.49 = 6,783.42 : x
  2. Step 2: Convert to fraction form
    26,504.74/39,758.49 = 6,783.42/x
  3. Step 3: Cross multiply
    26,504.74x = 39,758.49 × 6,783.42
  4. Step 4: Simplify right side
    26,504.74x = 269,698,536.24
  5. Step 5: Solve for x
    x = 269,698,536.24/26,504.74
  6. Step 6: Final answer
    x = 10,175.48

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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.