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Finding the Fourth Proportional to 24,744.36, 37,114.86 and 11,599.64

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Solution

The fourth proportional to 24,744.36, 37,114.86 and 11,599.64 is: 17,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.36 : 37,114.86 = 11,599.64 : x
  2. Step 2: Convert to fraction form
    24,744.36/37,114.86 = 11,599.64/x
  3. Step 3: Cross multiply
    24,744.36x = 37,114.86 × 11,599.64
  4. Step 4: Simplify right side
    24,744.36x = 430,519,014.65
  5. Step 5: Solve for x
    x = 430,519,014.65/24,744.36
  6. Step 6: Final answer
    x = 17,398.67

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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.