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Finding the Fourth Proportional to 26,743.94, 40,106.67 and 7,763.42

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Solution

The fourth proportional to 26,743.94, 40,106.67 and 7,763.42 is: 11,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,743.94 : 40,106.67 = 7,763.42 : x
  2. Step 2: Convert to fraction form
    26,743.94/40,106.67 = 7,763.42/x
  3. Step 3: Cross multiply
    26,743.94x = 40,106.67 × 7,763.42
  4. Step 4: Simplify right side
    26,743.94x = 311,365,056.04
  5. Step 5: Solve for x
    x = 311,365,056.04/26,743.94
  6. Step 6: Final answer
    x = 11,642.45

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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.