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Finding the Fourth Proportional to 26,557.26, 39,826.59 and 7,832.32

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Solution

The fourth proportional to 26,557.26, 39,826.59 and 7,832.32 is: 11,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,557.26 : 39,826.59 = 7,832.32 : x
  2. Step 2: Convert to fraction form
    26,557.26/39,826.59 = 7,832.32/x
  3. Step 3: Cross multiply
    26,557.26x = 39,826.59 × 7,832.32
  4. Step 4: Simplify right side
    26,557.26x = 311,934,597.39
  5. Step 5: Solve for x
    x = 311,934,597.39/26,557.26
  6. Step 6: Final answer
    x = 11,745.74

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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.