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Finding the Fourth Proportional to 21,142.98, 29,178.68 and 12,191.09

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Solution

The fourth proportional to 21,142.98, 29,178.68 and 12,191.09 is: 16,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.98 : 29,178.68 = 12,191.09 : x
  2. Step 2: Convert to fraction form
    21,142.98/29,178.68 = 12,191.09/x
  3. Step 3: Cross multiply
    21,142.98x = 29,178.68 × 12,191.09
  4. Step 4: Simplify right side
    21,142.98x = 355,719,707.11
  5. Step 5: Solve for x
    x = 355,719,707.11/21,142.98
  6. Step 6: Final answer
    x = 16,824.48

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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.