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Finding the Fourth Proportional to 13,227.80, 19,842.26 and 5,830.56

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Solution

The fourth proportional to 13,227.80, 19,842.26 and 5,830.56 is: 8,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.80 : 19,842.26 = 5,830.56 : x
  2. Step 2: Convert to fraction form
    13,227.80/19,842.26 = 5,830.56/x
  3. Step 3: Cross multiply
    13,227.80x = 19,842.26 × 5,830.56
  4. Step 4: Simplify right side
    13,227.80x = 115,691,458.31
  5. Step 5: Solve for x
    x = 115,691,458.31/13,227.80
  6. Step 6: Final answer
    x = 8,746.09

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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.