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Finding the Fourth Proportional to 12,157.21, 16,781.78 and 10,448.96

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Solution

The fourth proportional to 12,157.21, 16,781.78 and 10,448.96 is: 14,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.21 : 16,781.78 = 10,448.96 : x
  2. Step 2: Convert to fraction form
    12,157.21/16,781.78 = 10,448.96/x
  3. Step 3: Cross multiply
    12,157.21x = 16,781.78 × 10,448.96
  4. Step 4: Simplify right side
    12,157.21x = 175,352,120.24
  5. Step 5: Solve for x
    x = 175,352,120.24/12,157.21
  6. Step 6: Final answer
    x = 14,423.71

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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.