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Finding the Fourth Proportional to 21,675.50, 29,912.19 and 11,739.50

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Solution

The fourth proportional to 21,675.50, 29,912.19 and 11,739.50 is: 16,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.50 : 29,912.19 = 11,739.50 : x
  2. Step 2: Convert to fraction form
    21,675.50/29,912.19 = 11,739.50/x
  3. Step 3: Cross multiply
    21,675.50x = 29,912.19 × 11,739.50
  4. Step 4: Simplify right side
    21,675.50x = 351,154,154.51
  5. Step 5: Solve for x
    x = 351,154,154.51/21,675.50
  6. Step 6: Final answer
    x = 16,200.51

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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.