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Finding the Fourth Proportional to 26,649.40, 39,967.26 and 7,924.58

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Solution

The fourth proportional to 26,649.40, 39,967.26 and 7,924.58 is: 11,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649.40 : 39,967.26 = 7,924.58 : x
  2. Step 2: Convert to fraction form
    26,649.40/39,967.26 = 7,924.58/x
  3. Step 3: Cross multiply
    26,649.40x = 39,967.26 × 7,924.58
  4. Step 4: Simplify right side
    26,649.40x = 316,723,749.25
  5. Step 5: Solve for x
    x = 316,723,749.25/26,649.40
  6. Step 6: Final answer
    x = 11,884.84

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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.