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Finding the Fourth Proportional to 14,480.91, 19,982.23 and 8,107.16

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Solution

The fourth proportional to 14,480.91, 19,982.23 and 8,107.16 is: 11,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.91 : 19,982.23 = 8,107.16 : x
  2. Step 2: Convert to fraction form
    14,480.91/19,982.23 = 8,107.16/x
  3. Step 3: Cross multiply
    14,480.91x = 19,982.23 × 8,107.16
  4. Step 4: Simplify right side
    14,480.91x = 161,999,015.59
  5. Step 5: Solve for x
    x = 161,999,015.59/14,480.91
  6. Step 6: Final answer
    x = 11,187.07

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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.