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Finding the Fourth Proportional to 19,759.50, 27,272.67 and 13,046.46

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Solution

The fourth proportional to 19,759.50, 27,272.67 and 13,046.46 is: 18,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.50 : 27,272.67 = 13,046.46 : x
  2. Step 2: Convert to fraction form
    19,759.50/27,272.67 = 13,046.46/x
  3. Step 3: Cross multiply
    19,759.50x = 27,272.67 × 13,046.46
  4. Step 4: Simplify right side
    19,759.50x = 355,811,798.25
  5. Step 5: Solve for x
    x = 355,811,798.25/19,759.50
  6. Step 6: Final answer
    x = 18,007.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.