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Finding the Fourth Proportional to 11,814.30, 17,721.45 and 11,583.90

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Solution

The fourth proportional to 11,814.30, 17,721.45 and 11,583.90 is: 17,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.30 : 17,721.45 = 11,583.90 : x
  2. Step 2: Convert to fraction form
    11,814.30/17,721.45 = 11,583.90/x
  3. Step 3: Cross multiply
    11,814.30x = 17,721.45 × 11,583.90
  4. Step 4: Simplify right side
    11,814.30x = 205,283,504.66
  5. Step 5: Solve for x
    x = 205,283,504.66/11,814.30
  6. Step 6: Final answer
    x = 17,375.85

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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.