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Finding the Fourth Proportional to 15,474.50, 21,334.86 and 12,638.90

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Solution

The fourth proportional to 15,474.50, 21,334.86 and 12,638.90 is: 17,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.50 : 21,334.86 = 12,638.90 : x
  2. Step 2: Convert to fraction form
    15,474.50/21,334.86 = 12,638.90/x
  3. Step 3: Cross multiply
    15,474.50x = 21,334.86 × 12,638.90
  4. Step 4: Simplify right side
    15,474.50x = 269,649,162.05
  5. Step 5: Solve for x
    x = 269,649,162.05/15,474.50
  6. Step 6: Final answer
    x = 17,425.39

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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.