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Finding the Fourth Proportional to 24,387.44, 36,577.38 and 7,745.30

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Solution

The fourth proportional to 24,387.44, 36,577.38 and 7,745.30 is: 11,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.44 : 36,577.38 = 7,745.30 : x
  2. Step 2: Convert to fraction form
    24,387.44/36,577.38 = 7,745.30/x
  3. Step 3: Cross multiply
    24,387.44x = 36,577.38 × 7,745.30
  4. Step 4: Simplify right side
    24,387.44x = 283,302,781.31
  5. Step 5: Solve for x
    x = 283,302,781.31/24,387.44
  6. Step 6: Final answer
    x = 11,616.75

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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.