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Finding the Fourth Proportional to 19,828.97, 27,364.77 and 10,876.80

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Solution

The fourth proportional to 19,828.97, 27,364.77 and 10,876.80 is: 15,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.97 : 27,364.77 = 10,876.80 : x
  2. Step 2: Convert to fraction form
    19,828.97/27,364.77 = 10,876.80/x
  3. Step 3: Cross multiply
    19,828.97x = 27,364.77 × 10,876.80
  4. Step 4: Simplify right side
    19,828.97x = 297,641,130.34
  5. Step 5: Solve for x
    x = 297,641,130.34/19,828.97
  6. Step 6: Final answer
    x = 15,010.42

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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.