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Finding the Fourth Proportional to 26,449.64, 39,674.52 and 6,728.16

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Solution

The fourth proportional to 26,449.64, 39,674.52 and 6,728.16 is: 10,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,449.64 : 39,674.52 = 6,728.16 : x
  2. Step 2: Convert to fraction form
    26,449.64/39,674.52 = 6,728.16/x
  3. Step 3: Cross multiply
    26,449.64x = 39,674.52 × 6,728.16
  4. Step 4: Simplify right side
    26,449.64x = 266,936,518.48
  5. Step 5: Solve for x
    x = 266,936,518.48/26,449.64
  6. Step 6: Final answer
    x = 10,092.26

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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.