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Finding the Fourth Proportional to 22,519.48, 33,789.10 and 11,987

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Solution

The fourth proportional to 22,519.48, 33,789.10 and 11,987 is: 17,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.48 : 33,789.10 = 11,987 : x
  2. Step 2: Convert to fraction form
    22,519.48/33,789.10 = 11,987/x
  3. Step 3: Cross multiply
    22,519.48x = 33,789.10 × 11,987
  4. Step 4: Simplify right side
    22,519.48x = 405,029,941.70
  5. Step 5: Solve for x
    x = 405,029,941.70/22,519.48
  6. Step 6: Final answer
    x = 17,985.76

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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.