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Finding the Fourth Proportional to 23,967.88, 35,967.18 and 11,649.16

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Solution

The fourth proportional to 23,967.88, 35,967.18 and 11,649.16 is: 17,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.88 : 35,967.18 = 11,649.16 : x
  2. Step 2: Convert to fraction form
    23,967.88/35,967.18 = 11,649.16/x
  3. Step 3: Cross multiply
    23,967.88x = 35,967.18 × 11,649.16
  4. Step 4: Simplify right side
    23,967.88x = 418,987,434.57
  5. Step 5: Solve for x
    x = 418,987,434.57/23,967.88
  6. Step 6: Final answer
    x = 17,481.21

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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.