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Finding the Fourth Proportional to 23,825.25, 35,738.78 and 8,031.01

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Solution

The fourth proportional to 23,825.25, 35,738.78 and 8,031.01 is: 12,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.25 : 35,738.78 = 8,031.01 : x
  2. Step 2: Convert to fraction form
    23,825.25/35,738.78 = 8,031.01/x
  3. Step 3: Cross multiply
    23,825.25x = 35,738.78 × 8,031.01
  4. Step 4: Simplify right side
    23,825.25x = 287,018,430.30
  5. Step 5: Solve for x
    x = 287,018,430.30/23,825.25
  6. Step 6: Final answer
    x = 12,046.82

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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.