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Finding the Fourth Proportional to 14,510.68, 21,794.82 and 12,429.88

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Solution

The fourth proportional to 14,510.68, 21,794.82 and 12,429.88 is: 18,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.68 : 21,794.82 = 12,429.88 : x
  2. Step 2: Convert to fraction form
    14,510.68/21,794.82 = 12,429.88/x
  3. Step 3: Cross multiply
    14,510.68x = 21,794.82 × 12,429.88
  4. Step 4: Simplify right side
    14,510.68x = 270,906,997.22
  5. Step 5: Solve for x
    x = 270,906,997.22/14,510.68
  6. Step 6: Final answer
    x = 18,669.49

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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.