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Finding the Fourth Proportional to 21,739.88, 29,998.10 and 12,782.20

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Solution

The fourth proportional to 21,739.88, 29,998.10 and 12,782.20 is: 17,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,739.88 : 29,998.10 = 12,782.20 : x
  2. Step 2: Convert to fraction form
    21,739.88/29,998.10 = 12,782.20/x
  3. Step 3: Cross multiply
    21,739.88x = 29,998.10 × 12,782.20
  4. Step 4: Simplify right side
    21,739.88x = 383,441,713.82
  5. Step 5: Solve for x
    x = 383,441,713.82/21,739.88
  6. Step 6: Final answer
    x = 17,637.71

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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.