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Finding the Fourth Proportional to 26,366.37, 39,541.40 and 7,647.78

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Solution

The fourth proportional to 26,366.37, 39,541.40 and 7,647.78 is: 11,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,366.37 : 39,541.40 = 7,647.78 : x
  2. Step 2: Convert to fraction form
    26,366.37/39,541.40 = 7,647.78/x
  3. Step 3: Cross multiply
    26,366.37x = 39,541.40 × 7,647.78
  4. Step 4: Simplify right side
    26,366.37x = 302,403,928.09
  5. Step 5: Solve for x
    x = 302,403,928.09/26,366.37
  6. Step 6: Final answer
    x = 11,469.30

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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.