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Finding the Fourth Proportional to 24,234.82, 36,352.25 and 7,596.17

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Solution

The fourth proportional to 24,234.82, 36,352.25 and 7,596.17 is: 11,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.82 : 36,352.25 = 7,596.17 : x
  2. Step 2: Convert to fraction form
    24,234.82/36,352.25 = 7,596.17/x
  3. Step 3: Cross multiply
    24,234.82x = 36,352.25 × 7,596.17
  4. Step 4: Simplify right side
    24,234.82x = 276,137,870.88
  5. Step 5: Solve for x
    x = 276,137,870.88/24,234.82
  6. Step 6: Final answer
    x = 11,394.26

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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.