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Finding the Fourth Proportional to 14,054.50, 21,082.02 and 5,293.54

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Solution

The fourth proportional to 14,054.50, 21,082.02 and 5,293.54 is: 7,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.50 : 21,082.02 = 5,293.54 : x
  2. Step 2: Convert to fraction form
    14,054.50/21,082.02 = 5,293.54/x
  3. Step 3: Cross multiply
    14,054.50x = 21,082.02 × 5,293.54
  4. Step 4: Simplify right side
    14,054.50x = 111,598,516.15
  5. Step 5: Solve for x
    x = 111,598,516.15/14,054.50
  6. Step 6: Final answer
    x = 7,940.41

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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.