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Finding the Fourth Proportional to 19,714.34, 27,205.01 and 10,761.83

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Solution

The fourth proportional to 19,714.34, 27,205.01 and 10,761.83 is: 14,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.34 : 27,205.01 = 10,761.83 : x
  2. Step 2: Convert to fraction form
    19,714.34/27,205.01 = 10,761.83/x
  3. Step 3: Cross multiply
    19,714.34x = 27,205.01 × 10,761.83
  4. Step 4: Simplify right side
    19,714.34x = 292,775,502.93
  5. Step 5: Solve for x
    x = 292,775,502.93/19,714.34
  6. Step 6: Final answer
    x = 14,850.89

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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.