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Finding the Fourth Proportional to 21,159.42, 29,198.77 and 11,597.43

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Solution

The fourth proportional to 21,159.42, 29,198.77 and 11,597.43 is: 16,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.42 : 29,198.77 = 11,597.43 : x
  2. Step 2: Convert to fraction form
    21,159.42/29,198.77 = 11,597.43/x
  3. Step 3: Cross multiply
    21,159.42x = 29,198.77 × 11,597.43
  4. Step 4: Simplify right side
    21,159.42x = 338,630,691.16
  5. Step 5: Solve for x
    x = 338,630,691.16/21,159.42
  6. Step 6: Final answer
    x = 16,003.78

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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.