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Finding the Fourth Proportional to 13,775.97, 19,010.82 and 8,186.97

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Solution

The fourth proportional to 13,775.97, 19,010.82 and 8,186.97 is: 11,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.97 : 19,010.82 = 8,186.97 : x
  2. Step 2: Convert to fraction form
    13,775.97/19,010.82 = 8,186.97/x
  3. Step 3: Cross multiply
    13,775.97x = 19,010.82 × 8,186.97
  4. Step 4: Simplify right side
    13,775.97x = 155,641,013.02
  5. Step 5: Solve for x
    x = 155,641,013.02/13,775.97
  6. Step 6: Final answer
    x = 11,298.01

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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.