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Finding the Fourth Proportional to 13,208.50, 19,806.48 and 7,663.54

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Solution

The fourth proportional to 13,208.50, 19,806.48 and 7,663.54 is: 11,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.50 : 19,806.48 = 7,663.54 : x
  2. Step 2: Convert to fraction form
    13,208.50/19,806.48 = 7,663.54/x
  3. Step 3: Cross multiply
    13,208.50x = 19,806.48 × 7,663.54
  4. Step 4: Simplify right side
    13,208.50x = 151,787,751.74
  5. Step 5: Solve for x
    x = 151,787,751.74/13,208.50
  6. Step 6: Final answer
    x = 11,491.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.