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Finding the Fourth Proportional to 15,765.41, 23,649.62 and 5,233.20

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Solution

The fourth proportional to 15,765.41, 23,649.62 and 5,233.20 is: 7,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.41 : 23,649.62 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    15,765.41/23,649.62 = 5,233.20/x
  3. Step 3: Cross multiply
    15,765.41x = 23,649.62 × 5,233.20
  4. Step 4: Simplify right side
    15,765.41x = 123,763,165.22
  5. Step 5: Solve for x
    x = 123,763,165.22/15,765.41
  6. Step 6: Final answer
    x = 7,850.30

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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.