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Finding the Fourth Proportional to 11,904.90, 17,843.49 and 9,579.66

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Solution

The fourth proportional to 11,904.90, 17,843.49 and 9,579.66 is: 14,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.90 : 17,843.49 = 9,579.66 : x
  2. Step 2: Convert to fraction form
    11,904.90/17,843.49 = 9,579.66/x
  3. Step 3: Cross multiply
    11,904.90x = 17,843.49 × 9,579.66
  4. Step 4: Simplify right side
    11,904.90x = 170,934,567.41
  5. Step 5: Solve for x
    x = 170,934,567.41/11,904.90
  6. Step 6: Final answer
    x = 14,358.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.