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Finding the Fourth Proportional to 24,325.41, 36,493.58 and 7,686.44

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Solution

The fourth proportional to 24,325.41, 36,493.58 and 7,686.44 is: 11,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.41 : 36,493.58 = 7,686.44 : x
  2. Step 2: Convert to fraction form
    24,325.41/36,493.58 = 7,686.44/x
  3. Step 3: Cross multiply
    24,325.41x = 36,493.58 × 7,686.44
  4. Step 4: Simplify right side
    24,325.41x = 280,505,713.06
  5. Step 5: Solve for x
    x = 280,505,713.06/24,325.41
  6. Step 6: Final answer
    x = 11,531.39

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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.