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Finding the Fourth Proportional to 13,817.41, 19,067.43 and 7,849.06

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Solution

The fourth proportional to 13,817.41, 19,067.43 and 7,849.06 is: 10,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.41 : 19,067.43 = 7,849.06 : x
  2. Step 2: Convert to fraction form
    13,817.41/19,067.43 = 7,849.06/x
  3. Step 3: Cross multiply
    13,817.41x = 19,067.43 × 7,849.06
  4. Step 4: Simplify right side
    13,817.41x = 149,661,402.12
  5. Step 5: Solve for x
    x = 149,661,402.12/13,817.41
  6. Step 6: Final answer
    x = 10,831.36

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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.