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Finding the Fourth Proportional to 25,863.96, 35,692.26 and 14,685.96

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Solution

The fourth proportional to 25,863.96, 35,692.26 and 14,685.96 is: 20,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863.96 : 35,692.26 = 14,685.96 : x
  2. Step 2: Convert to fraction form
    25,863.96/35,692.26 = 14,685.96/x
  3. Step 3: Cross multiply
    25,863.96x = 35,692.26 × 14,685.96
  4. Step 4: Simplify right side
    25,863.96x = 524,175,102.67
  5. Step 5: Solve for x
    x = 524,175,102.67/25,863.96
  6. Step 6: Final answer
    x = 20,266.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.