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Finding the Fourth Proportional to 19,829.91, 27,365.09 and 10,877.44

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Solution

The fourth proportional to 19,829.91, 27,365.09 and 10,877.44 is: 15,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.91 : 27,365.09 = 10,877.44 : x
  2. Step 2: Convert to fraction form
    19,829.91/27,365.09 = 10,877.44/x
  3. Step 3: Cross multiply
    19,829.91x = 27,365.09 × 10,877.44
  4. Step 4: Simplify right side
    19,829.91x = 297,662,114.26
  5. Step 5: Solve for x
    x = 297,662,114.26/19,829.91
  6. Step 6: Final answer
    x = 15,010.76

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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.