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Finding the Fourth Proportional to 16,706.68, 23,002.62 and 14,183.80

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Solution

The fourth proportional to 16,706.68, 23,002.62 and 14,183.80 is: 19,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.68 : 23,002.62 = 14,183.80 : x
  2. Step 2: Convert to fraction form
    16,706.68/23,002.62 = 14,183.80/x
  3. Step 3: Cross multiply
    16,706.68x = 23,002.62 × 14,183.80
  4. Step 4: Simplify right side
    16,706.68x = 326,264,561.56
  5. Step 5: Solve for x
    x = 326,264,561.56/16,706.68
  6. Step 6: Final answer
    x = 19,528.99

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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.