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Finding the Fourth Proportional to 14,168.25, 19,553.06 and 8,201.84

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Solution

The fourth proportional to 14,168.25, 19,553.06 and 8,201.84 is: 11,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,168.25 : 19,553.06 = 8,201.84 : x
  2. Step 2: Convert to fraction form
    14,168.25/19,553.06 = 8,201.84/x
  3. Step 3: Cross multiply
    14,168.25x = 19,553.06 × 8,201.84
  4. Step 4: Simplify right side
    14,168.25x = 160,370,992.37
  5. Step 5: Solve for x
    x = 160,370,992.37/14,168.25
  6. Step 6: Final answer
    x = 11,319.04

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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.