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Finding the Fourth Proportional to 20,595.12, 30,893.04 and 6,744

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Solution

The fourth proportional to 20,595.12, 30,893.04 and 6,744 is: 10,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.12 : 30,893.04 = 6,744 : x
  2. Step 2: Convert to fraction form
    20,595.12/30,893.04 = 6,744/x
  3. Step 3: Cross multiply
    20,595.12x = 30,893.04 × 6,744
  4. Step 4: Simplify right side
    20,595.12x = 208,342,661.76
  5. Step 5: Solve for x
    x = 208,342,661.76/20,595.12
  6. Step 6: Final answer
    x = 10,116.12

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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.