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Finding the Fourth Proportional to 13,729.92, 18,952.12 and 8,352.44

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Solution

The fourth proportional to 13,729.92, 18,952.12 and 8,352.44 is: 11,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.92 : 18,952.12 = 8,352.44 : x
  2. Step 2: Convert to fraction form
    13,729.92/18,952.12 = 8,352.44/x
  3. Step 3: Cross multiply
    13,729.92x = 18,952.12 × 8,352.44
  4. Step 4: Simplify right side
    13,729.92x = 158,296,445.17
  5. Step 5: Solve for x
    x = 158,296,445.17/13,729.92
  6. Step 6: Final answer
    x = 11,529.31

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1.5x scale

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.