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Finding the Fourth Proportional to 19,676.52, 29,481.94 and 13,822.65

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Solution

The fourth proportional to 19,676.52, 29,481.94 and 13,822.65 is: 20,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.52 : 29,481.94 = 13,822.65 : x
  2. Step 2: Convert to fraction form
    19,676.52/29,481.94 = 13,822.65/x
  3. Step 3: Cross multiply
    19,676.52x = 29,481.94 × 13,822.65
  4. Step 4: Simplify right side
    19,676.52x = 407,518,555.22
  5. Step 5: Solve for x
    x = 407,518,555.22/19,676.52
  6. Step 6: Final answer
    x = 20,710.91

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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.