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Finding the Fourth Proportional to 17,257.84, 25,862.15 and 13,731.98

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Solution

The fourth proportional to 17,257.84, 25,862.15 and 13,731.98 is: 20,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.84 : 25,862.15 = 13,731.98 : x
  2. Step 2: Convert to fraction form
    17,257.84/25,862.15 = 13,731.98/x
  3. Step 3: Cross multiply
    17,257.84x = 25,862.15 × 13,731.98
  4. Step 4: Simplify right side
    17,257.84x = 355,138,526.56
  5. Step 5: Solve for x
    x = 355,138,526.56/17,257.84
  6. Step 6: Final answer
    x = 20,578.39

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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.