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Finding the Fourth Proportional to 26,567.35, 39,844.62 and 7,842.33

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Solution

The fourth proportional to 26,567.35, 39,844.62 and 7,842.33 is: 11,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,567.35 : 39,844.62 = 7,842.33 : x
  2. Step 2: Convert to fraction form
    26,567.35/39,844.62 = 7,842.33/x
  3. Step 3: Cross multiply
    26,567.35x = 39,844.62 × 7,842.33
  4. Step 4: Simplify right side
    26,567.35x = 312,474,658.76
  5. Step 5: Solve for x
    x = 312,474,658.76/26,567.35
  6. Step 6: Final answer
    x = 11,761.60

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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.