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Finding the Fourth Proportional to 19,714.54, 27,206.32 and 11,761.36

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Solution

The fourth proportional to 19,714.54, 27,206.32 and 11,761.36 is: 16,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.54 : 27,206.32 = 11,761.36 : x
  2. Step 2: Convert to fraction form
    19,714.54/27,206.32 = 11,761.36/x
  3. Step 3: Cross multiply
    19,714.54x = 27,206.32 × 11,761.36
  4. Step 4: Simplify right side
    19,714.54x = 319,983,323.80
  5. Step 5: Solve for x
    x = 319,983,323.80/19,714.54
  6. Step 6: Final answer
    x = 16,230.83

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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.