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Finding the Fourth Proportional to 23,408.13, 35,112.06 and 7,825.62

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Solution

The fourth proportional to 23,408.13, 35,112.06 and 7,825.62 is: 11,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.13 : 35,112.06 = 7,825.62 : x
  2. Step 2: Convert to fraction form
    23,408.13/35,112.06 = 7,825.62/x
  3. Step 3: Cross multiply
    23,408.13x = 35,112.06 × 7,825.62
  4. Step 4: Simplify right side
    23,408.13x = 274,773,638.98
  5. Step 5: Solve for x
    x = 274,773,638.98/23,408.13
  6. Step 6: Final answer
    x = 11,738.38

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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.