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Finding the Fourth Proportional to 26,542.32, 39,813.36 and 7,822.76

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Solution

The fourth proportional to 26,542.32, 39,813.36 and 7,822.76 is: 11,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542.32 : 39,813.36 = 7,822.76 : x
  2. Step 2: Convert to fraction form
    26,542.32/39,813.36 = 7,822.76/x
  3. Step 3: Cross multiply
    26,542.32x = 39,813.36 × 7,822.76
  4. Step 4: Simplify right side
    26,542.32x = 311,450,360.07
  5. Step 5: Solve for x
    x = 311,450,360.07/26,542.32
  6. Step 6: Final answer
    x = 11,734.10

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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.