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Finding the Fourth Proportional to 26,455.24, 39,682.62 and 7,987.24

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Solution

The fourth proportional to 26,455.24, 39,682.62 and 7,987.24 is: 11,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455.24 : 39,682.62 = 7,987.24 : x
  2. Step 2: Convert to fraction form
    26,455.24/39,682.62 = 7,987.24/x
  3. Step 3: Cross multiply
    26,455.24x = 39,682.62 × 7,987.24
  4. Step 4: Simplify right side
    26,455.24x = 316,954,609.77
  5. Step 5: Solve for x
    x = 316,954,609.77/26,455.24
  6. Step 6: Final answer
    x = 11,980.79

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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.