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Finding the Fourth Proportional to 12,868.50, 17,596.37 and 12,868.50

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Solution

The fourth proportional to 12,868.50, 17,596.37 and 12,868.50 is: 17,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.50 : 17,596.37 = 12,868.50 : x
  2. Step 2: Convert to fraction form
    12,868.50/17,596.37 = 12,868.50/x
  3. Step 3: Cross multiply
    12,868.50x = 17,596.37 × 12,868.50
  4. Step 4: Simplify right side
    12,868.50x = 226,438,887.35
  5. Step 5: Solve for x
    x = 226,438,887.35/12,868.50
  6. Step 6: Final answer
    x = 17,596.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.