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Finding the Fourth Proportional to 20,731.44, 28,609.68 and 11,300.16

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Solution

The fourth proportional to 20,731.44, 28,609.68 and 11,300.16 is: 15,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.44 : 28,609.68 = 11,300.16 : x
  2. Step 2: Convert to fraction form
    20,731.44/28,609.68 = 11,300.16/x
  3. Step 3: Cross multiply
    20,731.44x = 28,609.68 × 11,300.16
  4. Step 4: Simplify right side
    20,731.44x = 323,293,961.55
  5. Step 5: Solve for x
    x = 323,293,961.55/20,731.44
  6. Step 6: Final answer
    x = 15,594.38

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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.