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Finding the Fourth Proportional to 25,176.71, 34,743.17 and 13,846.21

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Solution

The fourth proportional to 25,176.71, 34,743.17 and 13,846.21 is: 19,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.71 : 34,743.17 = 13,846.21 : x
  2. Step 2: Convert to fraction form
    25,176.71/34,743.17 = 13,846.21/x
  3. Step 3: Cross multiply
    25,176.71x = 34,743.17 × 13,846.21
  4. Step 4: Simplify right side
    25,176.71x = 481,061,227.89
  5. Step 5: Solve for x
    x = 481,061,227.89/25,176.71
  6. Step 6: Final answer
    x = 19,107.39

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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.