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Finding the Fourth Proportional to 12,745.84, 17,589.18 and 7,156.84

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Solution

The fourth proportional to 12,745.84, 17,589.18 and 7,156.84 is: 9,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.84 : 17,589.18 = 7,156.84 : x
  2. Step 2: Convert to fraction form
    12,745.84/17,589.18 = 7,156.84/x
  3. Step 3: Cross multiply
    12,745.84x = 17,589.18 × 7,156.84
  4. Step 4: Simplify right side
    12,745.84x = 125,882,946.99
  5. Step 5: Solve for x
    x = 125,882,946.99/12,745.84
  6. Step 6: Final answer
    x = 9,876.39

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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.