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Finding the Fourth Proportional to 14,077.83, 19,427.94 and 7,791.42

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Solution

The fourth proportional to 14,077.83, 19,427.94 and 7,791.42 is: 10,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.83 : 19,427.94 = 7,791.42 : x
  2. Step 2: Convert to fraction form
    14,077.83/19,427.94 = 7,791.42/x
  3. Step 3: Cross multiply
    14,077.83x = 19,427.94 × 7,791.42
  4. Step 4: Simplify right side
    14,077.83x = 151,371,240.27
  5. Step 5: Solve for x
    x = 151,371,240.27/14,077.83
  6. Step 6: Final answer
    x = 10,752.46

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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.