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Finding the Fourth Proportional to 24,433.36, 36,649.40 and 5,965.20

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Solution

The fourth proportional to 24,433.36, 36,649.40 and 5,965.20 is: 8,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.36 : 36,649.40 = 5,965.20 : x
  2. Step 2: Convert to fraction form
    24,433.36/36,649.40 = 5,965.20/x
  3. Step 3: Cross multiply
    24,433.36x = 36,649.40 × 5,965.20
  4. Step 4: Simplify right side
    24,433.36x = 218,621,000.88
  5. Step 5: Solve for x
    x = 218,621,000.88/24,433.36
  6. Step 6: Final answer
    x = 8,947.64

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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.