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Finding the Fourth Proportional to 24,137.46, 36,211.32 and 7,497.09

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Solution

The fourth proportional to 24,137.46, 36,211.32 and 7,497.09 is: 11,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.46 : 36,211.32 = 7,497.09 : x
  2. Step 2: Convert to fraction form
    24,137.46/36,211.32 = 7,497.09/x
  3. Step 3: Cross multiply
    24,137.46x = 36,211.32 × 7,497.09
  4. Step 4: Simplify right side
    24,137.46x = 271,479,525.06
  5. Step 5: Solve for x
    x = 271,479,525.06/24,137.46
  6. Step 6: Final answer
    x = 11,247.23

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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.