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Finding the Fourth Proportional to 21,692.22, 32,537.72 and 6,902.03

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Solution

The fourth proportional to 21,692.22, 32,537.72 and 6,902.03 is: 10,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.22 : 32,537.72 = 6,902.03 : x
  2. Step 2: Convert to fraction form
    21,692.22/32,537.72 = 6,902.03/x
  3. Step 3: Cross multiply
    21,692.22x = 32,537.72 × 6,902.03
  4. Step 4: Simplify right side
    21,692.22x = 224,576,122.37
  5. Step 5: Solve for x
    x = 224,576,122.37/21,692.22
  6. Step 6: Final answer
    x = 10,352.84

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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.