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Finding the Fourth Proportional to 26,557.79, 39,822.96 and 7,835.44

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Solution

The fourth proportional to 26,557.79, 39,822.96 and 7,835.44 is: 11,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,557.79 : 39,822.96 = 7,835.44 : x
  2. Step 2: Convert to fraction form
    26,557.79/39,822.96 = 7,835.44/x
  3. Step 3: Cross multiply
    26,557.79x = 39,822.96 × 7,835.44
  4. Step 4: Simplify right side
    26,557.79x = 312,030,413.70
  5. Step 5: Solve for x
    x = 312,030,413.70/26,557.79
  6. Step 6: Final answer
    x = 11,749.11

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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.