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Finding the Fourth Proportional to 21,692.96, 32,539.92 and 6,110.24

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Solution

The fourth proportional to 21,692.96, 32,539.92 and 6,110.24 is: 9,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.96 : 32,539.92 = 6,110.24 : x
  2. Step 2: Convert to fraction form
    21,692.96/32,539.92 = 6,110.24/x
  3. Step 3: Cross multiply
    21,692.96x = 32,539.92 × 6,110.24
  4. Step 4: Simplify right side
    21,692.96x = 198,826,720.78
  5. Step 5: Solve for x
    x = 198,826,720.78/21,692.96
  6. Step 6: Final answer
    x = 9,165.50

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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.