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Finding the Fourth Proportional to 24,049.46, 36,074.82 and 11,396.24

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Solution

The fourth proportional to 24,049.46, 36,074.82 and 11,396.24 is: 17,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.46 : 36,074.82 = 11,396.24 : x
  2. Step 2: Convert to fraction form
    24,049.46/36,074.82 = 11,396.24/x
  3. Step 3: Cross multiply
    24,049.46x = 36,074.82 × 11,396.24
  4. Step 4: Simplify right side
    24,049.46x = 411,117,443.14
  5. Step 5: Solve for x
    x = 411,117,443.14/24,049.46
  6. Step 6: Final answer
    x = 17,094.67

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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.