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Finding the Fourth Proportional to 25,176.62, 34,741.41 and 13,846.14

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Solution

The fourth proportional to 25,176.62, 34,741.41 and 13,846.14 is: 19,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.62 : 34,741.41 = 13,846.14 : x
  2. Step 2: Convert to fraction form
    25,176.62/34,741.41 = 13,846.14/x
  3. Step 3: Cross multiply
    25,176.62x = 34,741.41 × 13,846.14
  4. Step 4: Simplify right side
    25,176.62x = 481,034,374.73
  5. Step 5: Solve for x
    x = 481,034,374.73/25,176.62
  6. Step 6: Final answer
    x = 19,106.39

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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.