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Finding the Fourth Proportional to 14,852.55, 20,496.24 and 8,138.10

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Solution

The fourth proportional to 14,852.55, 20,496.24 and 8,138.10 is: 11,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.55 : 20,496.24 = 8,138.10 : x
  2. Step 2: Convert to fraction form
    14,852.55/20,496.24 = 8,138.10/x
  3. Step 3: Cross multiply
    14,852.55x = 20,496.24 × 8,138.10
  4. Step 4: Simplify right side
    14,852.55x = 166,800,450.74
  5. Step 5: Solve for x
    x = 166,800,450.74/14,852.55
  6. Step 6: Final answer
    x = 11,230.43

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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.