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Finding the Fourth Proportional to 23,469.75, 32,388.26 and 12,859.76

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Solution

The fourth proportional to 23,469.75, 32,388.26 and 12,859.76 is: 17,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469.75 : 32,388.26 = 12,859.76 : x
  2. Step 2: Convert to fraction form
    23,469.75/32,388.26 = 12,859.76/x
  3. Step 3: Cross multiply
    23,469.75x = 32,388.26 × 12,859.76
  4. Step 4: Simplify right side
    23,469.75x = 416,505,267.09
  5. Step 5: Solve for x
    x = 416,505,267.09/23,469.75
  6. Step 6: Final answer
    x = 17,746.47

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