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Finding the Fourth Proportional to 23,809.88, 32,851.44 and 14,375

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Solution

The fourth proportional to 23,809.88, 32,851.44 and 14,375 is: 19,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.88 : 32,851.44 = 14,375 : x
  2. Step 2: Convert to fraction form
    23,809.88/32,851.44 = 14,375/x
  3. Step 3: Cross multiply
    23,809.88x = 32,851.44 × 14,375
  4. Step 4: Simplify right side
    23,809.88x = 472,239,450.00
  5. Step 5: Solve for x
    x = 472,239,450.00/23,809.88
  6. Step 6: Final answer
    x = 19,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.