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Finding the Fourth Proportional to 19,714.48, 27,205.20 and 10,761.97

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Solution

The fourth proportional to 19,714.48, 27,205.20 and 10,761.97 is: 14,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.48 : 27,205.20 = 10,761.97 : x
  2. Step 2: Convert to fraction form
    19,714.48/27,205.20 = 10,761.97/x
  3. Step 3: Cross multiply
    19,714.48x = 27,205.20 × 10,761.97
  4. Step 4: Simplify right side
    19,714.48x = 292,781,518.59
  5. Step 5: Solve for x
    x = 292,781,518.59/19,714.48
  6. Step 6: Final answer
    x = 14,851.09

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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.