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Finding the Fourth Proportional to 14,342.09, 19,791.96 and 7,881.80

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Solution

The fourth proportional to 14,342.09, 19,791.96 and 7,881.80 is: 10,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.09 : 19,791.96 = 7,881.80 : x
  2. Step 2: Convert to fraction form
    14,342.09/19,791.96 = 7,881.80/x
  3. Step 3: Cross multiply
    14,342.09x = 19,791.96 × 7,881.80
  4. Step 4: Simplify right side
    14,342.09x = 155,996,290.25
  5. Step 5: Solve for x
    x = 155,996,290.25/14,342.09
  6. Step 6: Final answer
    x = 10,876.82

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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.