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Finding the Fourth Proportional to 12,434.21, 18,651.31 and 4,111.99

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Solution

The fourth proportional to 12,434.21, 18,651.31 and 4,111.99 is: 6,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.21 : 18,651.31 = 4,111.99 : x
  2. Step 2: Convert to fraction form
    12,434.21/18,651.31 = 4,111.99/x
  3. Step 3: Cross multiply
    12,434.21x = 18,651.31 × 4,111.99
  4. Step 4: Simplify right side
    12,434.21x = 76,694,018.89
  5. Step 5: Solve for x
    x = 76,694,018.89/12,434.21
  6. Step 6: Final answer
    x = 6,167.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.