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Finding the Fourth Proportional to 13,214.24, 19,791.11 and 6,642.30

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Solution

The fourth proportional to 13,214.24, 19,791.11 and 6,642.30 is: 9,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.24 : 19,791.11 = 6,642.30 : x
  2. Step 2: Convert to fraction form
    13,214.24/19,791.11 = 6,642.30/x
  3. Step 3: Cross multiply
    13,214.24x = 19,791.11 × 6,642.30
  4. Step 4: Simplify right side
    13,214.24x = 131,458,456.74
  5. Step 5: Solve for x
    x = 131,458,456.74/13,214.24
  6. Step 6: Final answer
    x = 9,948.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.