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Finding the Fourth Proportional to 20,203.50, 30,296.97 and 7,051.44

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Solution

The fourth proportional to 20,203.50, 30,296.97 and 7,051.44 is: 10,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.50 : 30,296.97 = 7,051.44 : x
  2. Step 2: Convert to fraction form
    20,203.50/30,296.97 = 7,051.44/x
  3. Step 3: Cross multiply
    20,203.50x = 30,296.97 × 7,051.44
  4. Step 4: Simplify right side
    20,203.50x = 213,637,266.14
  5. Step 5: Solve for x
    x = 213,637,266.14/20,203.50
  6. Step 6: Final answer
    x = 10,574.27

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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.