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Finding the Fourth Proportional to 23,649.98, 35,444.32 and 9,593.64

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Solution

The fourth proportional to 23,649.98, 35,444.32 and 9,593.64 is: 14,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.98 : 35,444.32 = 9,593.64 : x
  2. Step 2: Convert to fraction form
    23,649.98/35,444.32 = 9,593.64/x
  3. Step 3: Cross multiply
    23,649.98x = 35,444.32 × 9,593.64
  4. Step 4: Simplify right side
    23,649.98x = 340,040,022.14
  5. Step 5: Solve for x
    x = 340,040,022.14/23,649.98
  6. Step 6: Final answer
    x = 14,378.03

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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.