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Finding the Fourth Proportional to 38,006.69, 57,012.92 and 13,046.54

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Solution

The fourth proportional to 38,006.69, 57,012.92 and 13,046.54 is: 19,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.69 : 57,012.92 = 13,046.54 : x
  2. Step 2: Convert to fraction form
    38,006.69/57,012.92 = 13,046.54/x
  3. Step 3: Cross multiply
    38,006.69x = 57,012.92 × 13,046.54
  4. Step 4: Simplify right side
    38,006.69x = 743,820,991.00
  5. Step 5: Solve for x
    x = 743,820,991.00/38,006.69
  6. Step 6: Final answer
    x = 19,570.79

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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.