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Finding the Fourth Proportional to 14,383.92, 19,847.16 and 8,094.96

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Solution

The fourth proportional to 14,383.92, 19,847.16 and 8,094.96 is: 11,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.92 : 19,847.16 = 8,094.96 : x
  2. Step 2: Convert to fraction form
    14,383.92/19,847.16 = 8,094.96/x
  3. Step 3: Cross multiply
    14,383.92x = 19,847.16 × 8,094.96
  4. Step 4: Simplify right side
    14,383.92x = 160,661,966.31
  5. Step 5: Solve for x
    x = 160,661,966.31/14,383.92
  6. Step 6: Final answer
    x = 11,169.55

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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.