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Finding the Fourth Proportional to 26,567.96, 39,842.64 and 7,843.01

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Solution

The fourth proportional to 26,567.96, 39,842.64 and 7,843.01 is: 11,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,567.96 : 39,842.64 = 7,843.01 : x
  2. Step 2: Convert to fraction form
    26,567.96/39,842.64 = 7,843.01/x
  3. Step 3: Cross multiply
    26,567.96x = 39,842.64 × 7,843.01
  4. Step 4: Simplify right side
    26,567.96x = 312,486,024.73
  5. Step 5: Solve for x
    x = 312,486,024.73/26,567.96
  6. Step 6: Final answer
    x = 11,761.76

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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.