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Finding the Fourth Proportional to 21,074.86, 29,080.83 and 11,642.86

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Solution

The fourth proportional to 21,074.86, 29,080.83 and 11,642.86 is: 16,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.86 : 29,080.83 = 11,642.86 : x
  2. Step 2: Convert to fraction form
    21,074.86/29,080.83 = 11,642.86/x
  3. Step 3: Cross multiply
    21,074.86x = 29,080.83 × 11,642.86
  4. Step 4: Simplify right side
    21,074.86x = 338,584,032.37
  5. Step 5: Solve for x
    x = 338,584,032.37/21,074.86
  6. Step 6: Final answer
    x = 16,065.78

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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.