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Finding the Fourth Proportional to 21,114.27, 29,137.95 and 11,682.75

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Solution

The fourth proportional to 21,114.27, 29,137.95 and 11,682.75 is: 16,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.27 : 29,137.95 = 11,682.75 : x
  2. Step 2: Convert to fraction form
    21,114.27/29,137.95 = 11,682.75/x
  3. Step 3: Cross multiply
    21,114.27x = 29,137.95 × 11,682.75
  4. Step 4: Simplify right side
    21,114.27x = 340,411,385.36
  5. Step 5: Solve for x
    x = 340,411,385.36/21,114.27
  6. Step 6: Final answer
    x = 16,122.34

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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.