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Finding the Fourth Proportional to 14,480.01, 19,982.84 and 8,192.25

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Solution

The fourth proportional to 14,480.01, 19,982.84 and 8,192.25 is: 11,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.01 : 19,982.84 = 8,192.25 : x
  2. Step 2: Convert to fraction form
    14,480.01/19,982.84 = 8,192.25/x
  3. Step 3: Cross multiply
    14,480.01x = 19,982.84 × 8,192.25
  4. Step 4: Simplify right side
    14,480.01x = 163,704,380.03
  5. Step 5: Solve for x
    x = 163,704,380.03/14,480.01
  6. Step 6: Final answer
    x = 11,305.54

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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.