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Finding the Fourth Proportional to 14,354.64, 19,809.99 and 8,067

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Solution

The fourth proportional to 14,354.64, 19,809.99 and 8,067 is: 11,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.64 : 19,809.99 = 8,067 : x
  2. Step 2: Convert to fraction form
    14,354.64/19,809.99 = 8,067/x
  3. Step 3: Cross multiply
    14,354.64x = 19,809.99 × 8,067
  4. Step 4: Simplify right side
    14,354.64x = 159,807,189.33
  5. Step 5: Solve for x
    x = 159,807,189.33/14,354.64
  6. Step 6: Final answer
    x = 11,132.79

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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.