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Finding the Fourth Proportional to 25,175.50, 34,742.19 and 13,845.20

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Solution

The fourth proportional to 25,175.50, 34,742.19 and 13,845.20 is: 19,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.50 : 34,742.19 = 13,845.20 : x
  2. Step 2: Convert to fraction form
    25,175.50/34,742.19 = 13,845.20/x
  3. Step 3: Cross multiply
    25,175.50x = 34,742.19 × 13,845.20
  4. Step 4: Simplify right side
    25,175.50x = 481,012,568.99
  5. Step 5: Solve for x
    x = 481,012,568.99/25,175.50
  6. Step 6: Final answer
    x = 19,106.38

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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.