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Finding the Fourth Proportional to 21,157.89, 29,198.26 and 11,597.14

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Solution

The fourth proportional to 21,157.89, 29,198.26 and 11,597.14 is: 16,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.89 : 29,198.26 = 11,597.14 : x
  2. Step 2: Convert to fraction form
    21,157.89/29,198.26 = 11,597.14/x
  3. Step 3: Cross multiply
    21,157.89x = 29,198.26 × 11,597.14
  4. Step 4: Simplify right side
    21,157.89x = 338,616,294.74
  5. Step 5: Solve for x
    x = 338,616,294.74/21,157.89
  6. Step 6: Final answer
    x = 16,004.25

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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.