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Finding the Fourth Proportional to 26,570.98, 39,860.76 and 7,852.89

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Solution

The fourth proportional to 26,570.98, 39,860.76 and 7,852.89 is: 11,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,570.98 : 39,860.76 = 7,852.89 : x
  2. Step 2: Convert to fraction form
    26,570.98/39,860.76 = 7,852.89/x
  3. Step 3: Cross multiply
    26,570.98x = 39,860.76 × 7,852.89
  4. Step 4: Simplify right side
    26,570.98x = 313,022,163.60
  5. Step 5: Solve for x
    x = 313,022,163.60/26,570.98
  6. Step 6: Final answer
    x = 11,780.61

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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.