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Finding the Fourth Proportional to 20,537.34, 30,794.25 and 7,203.90

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Solution

The fourth proportional to 20,537.34, 30,794.25 and 7,203.90 is: 10,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.34 : 30,794.25 = 7,203.90 : x
  2. Step 2: Convert to fraction form
    20,537.34/30,794.25 = 7,203.90/x
  3. Step 3: Cross multiply
    20,537.34x = 30,794.25 × 7,203.90
  4. Step 4: Simplify right side
    20,537.34x = 221,838,697.58
  5. Step 5: Solve for x
    x = 221,838,697.58/20,537.34
  6. Step 6: Final answer
    x = 10,801.72

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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.