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Finding the Fourth Proportional to 13,496.39, 20,244.54 and 3,635.67

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Solution

The fourth proportional to 13,496.39, 20,244.54 and 3,635.67 is: 5,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.39 : 20,244.54 = 3,635.67 : x
  2. Step 2: Convert to fraction form
    13,496.39/20,244.54 = 3,635.67/x
  3. Step 3: Cross multiply
    13,496.39x = 20,244.54 × 3,635.67
  4. Step 4: Simplify right side
    13,496.39x = 73,602,466.74
  5. Step 5: Solve for x
    x = 73,602,466.74/13,496.39
  6. Step 6: Final answer
    x = 5,453.49

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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.