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Finding the Fourth Proportional to 21,692.76, 32,540.06 and 6,900.14

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Solution

The fourth proportional to 21,692.76, 32,540.06 and 6,900.14 is: 10,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.76 : 32,540.06 = 6,900.14 : x
  2. Step 2: Convert to fraction form
    21,692.76/32,540.06 = 6,900.14/x
  3. Step 3: Cross multiply
    21,692.76x = 32,540.06 × 6,900.14
  4. Step 4: Simplify right side
    21,692.76x = 224,530,969.61
  5. Step 5: Solve for x
    x = 224,530,969.61/21,692.76
  6. Step 6: Final answer
    x = 10,350.50

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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.