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Finding the Fourth Proportional to 28,198.56, 38,912.47 and 15,449.40

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Solution

The fourth proportional to 28,198.56, 38,912.47 and 15,449.40 is: 21,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.56 : 38,912.47 = 15,449.40 : x
  2. Step 2: Convert to fraction form
    28,198.56/38,912.47 = 15,449.40/x
  3. Step 3: Cross multiply
    28,198.56x = 38,912.47 × 15,449.40
  4. Step 4: Simplify right side
    28,198.56x = 601,174,314.02
  5. Step 5: Solve for x
    x = 601,174,314.02/28,198.56
  6. Step 6: Final answer
    x = 21,319.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.