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Finding the Fourth Proportional to 13,662.16, 20,493.50 and 4,302.48

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Solution

The fourth proportional to 13,662.16, 20,493.50 and 4,302.48 is: 6,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.16 : 20,493.50 = 4,302.48 : x
  2. Step 2: Convert to fraction form
    13,662.16/20,493.50 = 4,302.48/x
  3. Step 3: Cross multiply
    13,662.16x = 20,493.50 × 4,302.48
  4. Step 4: Simplify right side
    13,662.16x = 88,172,941.32
  5. Step 5: Solve for x
    x = 88,172,941.32/13,662.16
  6. Step 6: Final answer
    x = 6,453.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.