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Finding the Fourth Proportional to 21,614.30, 29,826.87 and 12,184.82

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Solution

The fourth proportional to 21,614.30, 29,826.87 and 12,184.82 is: 16,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.30 : 29,826.87 = 12,184.82 : x
  2. Step 2: Convert to fraction form
    21,614.30/29,826.87 = 12,184.82/x
  3. Step 3: Cross multiply
    21,614.30x = 29,826.87 × 12,184.82
  4. Step 4: Simplify right side
    21,614.30x = 363,435,042.11
  5. Step 5: Solve for x
    x = 363,435,042.11/21,614.30
  6. Step 6: Final answer
    x = 16,814.56

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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.