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Finding the Fourth Proportional to 21,142.88, 29,174.82 and 11,709.08

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Solution

The fourth proportional to 21,142.88, 29,174.82 and 11,709.08 is: 16,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.88 : 29,174.82 = 11,709.08 : x
  2. Step 2: Convert to fraction form
    21,142.88/29,174.82 = 11,709.08/x
  3. Step 3: Cross multiply
    21,142.88x = 29,174.82 × 11,709.08
  4. Step 4: Simplify right side
    21,142.88x = 341,610,301.37
  5. Step 5: Solve for x
    x = 341,610,301.37/21,142.88
  6. Step 6: Final answer
    x = 16,157.23

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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.