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Finding the Fourth Proportional to 23,692.60, 35,539.50 and 8,110.12

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Solution

The fourth proportional to 23,692.60, 35,539.50 and 8,110.12 is: 12,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.60 : 35,539.50 = 8,110.12 : x
  2. Step 2: Convert to fraction form
    23,692.60/35,539.50 = 8,110.12/x
  3. Step 3: Cross multiply
    23,692.60x = 35,539.50 × 8,110.12
  4. Step 4: Simplify right side
    23,692.60x = 288,229,609.74
  5. Step 5: Solve for x
    x = 288,229,609.74/23,692.60
  6. Step 6: Final answer
    x = 12,165.39

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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.