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Finding the Fourth Proportional to 20,830.72, 31,219.24 and 7,667.50

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Solution

The fourth proportional to 20,830.72, 31,219.24 and 7,667.50 is: 11,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.72 : 31,219.24 = 7,667.50 : x
  2. Step 2: Convert to fraction form
    20,830.72/31,219.24 = 7,667.50/x
  3. Step 3: Cross multiply
    20,830.72x = 31,219.24 × 7,667.50
  4. Step 4: Simplify right side
    20,830.72x = 239,373,522.70
  5. Step 5: Solve for x
    x = 239,373,522.70/20,830.72
  6. Step 6: Final answer
    x = 11,491.37

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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.