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Finding the Fourth Proportional to 11,509.83, 17,287.83 and 11,131.56

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Solution

The fourth proportional to 11,509.83, 17,287.83 and 11,131.56 is: 16,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.83 : 17,287.83 = 11,131.56 : x
  2. Step 2: Convert to fraction form
    11,509.83/17,287.83 = 11,131.56/x
  3. Step 3: Cross multiply
    11,509.83x = 17,287.83 × 11,131.56
  4. Step 4: Simplify right side
    11,509.83x = 192,440,516.91
  5. Step 5: Solve for x
    x = 192,440,516.91/11,509.83
  6. Step 6: Final answer
    x = 16,719.67

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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.