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Finding the Fourth Proportional to 25,692.60, 38,531.70 and 8,167.80

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Solution

The fourth proportional to 25,692.60, 38,531.70 and 8,167.80 is: 12,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.60 : 38,531.70 = 8,167.80 : x
  2. Step 2: Convert to fraction form
    25,692.60/38,531.70 = 8,167.80/x
  3. Step 3: Cross multiply
    25,692.60x = 38,531.70 × 8,167.80
  4. Step 4: Simplify right side
    25,692.60x = 314,719,219.26
  5. Step 5: Solve for x
    x = 314,719,219.26/25,692.60
  6. Step 6: Final answer
    x = 12,249.41

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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.