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Finding the Fourth Proportional to 16,447.68, 24,671.70 and 13,145.22

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Solution

The fourth proportional to 16,447.68, 24,671.70 and 13,145.22 is: 19,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.68 : 24,671.70 = 13,145.22 : x
  2. Step 2: Convert to fraction form
    16,447.68/24,671.70 = 13,145.22/x
  3. Step 3: Cross multiply
    16,447.68x = 24,671.70 × 13,145.22
  4. Step 4: Simplify right side
    16,447.68x = 324,314,924.27
  5. Step 5: Solve for x
    x = 324,314,924.27/16,447.68
  6. Step 6: Final answer
    x = 19,717.97

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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.