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Finding the Fourth Proportional to 13,685.36, 20,420.56 and 12,849.44

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Solution

The fourth proportional to 13,685.36, 20,420.56 and 12,849.44 is: 19,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.36 : 20,420.56 = 12,849.44 : x
  2. Step 2: Convert to fraction form
    13,685.36/20,420.56 = 12,849.44/x
  3. Step 3: Cross multiply
    13,685.36x = 20,420.56 × 12,849.44
  4. Step 4: Simplify right side
    13,685.36x = 262,392,760.49
  5. Step 5: Solve for x
    x = 262,392,760.49/13,685.36
  6. Step 6: Final answer
    x = 19,173.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.