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Finding the Fourth Proportional to 13,696.96, 20,546.72 and 6,303.48

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Solution

The fourth proportional to 13,696.96, 20,546.72 and 6,303.48 is: 9,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.96 : 20,546.72 = 6,303.48 : x
  2. Step 2: Convert to fraction form
    13,696.96/20,546.72 = 6,303.48/x
  3. Step 3: Cross multiply
    13,696.96x = 20,546.72 × 6,303.48
  4. Step 4: Simplify right side
    13,696.96x = 129,515,838.59
  5. Step 5: Solve for x
    x = 129,515,838.59/13,696.96
  6. Step 6: Final answer
    x = 9,455.81

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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.