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Finding the Fourth Proportional to 26,794.28, 40,183.74 and 9,023

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Solution

The fourth proportional to 26,794.28, 40,183.74 and 9,023 is: 13,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,794.28 : 40,183.74 = 9,023 : x
  2. Step 2: Convert to fraction form
    26,794.28/40,183.74 = 9,023/x
  3. Step 3: Cross multiply
    26,794.28x = 40,183.74 × 9,023
  4. Step 4: Simplify right side
    26,794.28x = 362,577,886.02
  5. Step 5: Solve for x
    x = 362,577,886.02/26,794.28
  6. Step 6: Final answer
    x = 13,531.91

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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.