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Finding the Fourth Proportional to 11,814.96, 17,729.22 and 4,424.52

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Solution

The fourth proportional to 11,814.96, 17,729.22 and 4,424.52 is: 6,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.96 : 17,729.22 = 4,424.52 : x
  2. Step 2: Convert to fraction form
    11,814.96/17,729.22 = 4,424.52/x
  3. Step 3: Cross multiply
    11,814.96x = 17,729.22 × 4,424.52
  4. Step 4: Simplify right side
    11,814.96x = 78,443,288.47
  5. Step 5: Solve for x
    x = 78,443,288.47/11,814.96
  6. Step 6: Final answer
    x = 6,639.32

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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.