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Finding the Fourth Proportional to 30,896.36, 46,308.73 and 14,221.38

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Solution

The fourth proportional to 30,896.36, 46,308.73 and 14,221.38 is: 21,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.36 : 46,308.73 = 14,221.38 : x
  2. Step 2: Convert to fraction form
    30,896.36/46,308.73 = 14,221.38/x
  3. Step 3: Cross multiply
    30,896.36x = 46,308.73 × 14,221.38
  4. Step 4: Simplify right side
    30,896.36x = 658,574,046.65
  5. Step 5: Solve for x
    x = 658,574,046.65/30,896.36
  6. Step 6: Final answer
    x = 21,315.59

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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.