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Finding the Fourth Proportional to 14,794.67, 20,416.29 and 8,080.38

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Solution

The fourth proportional to 14,794.67, 20,416.29 and 8,080.38 is: 11,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.67 : 20,416.29 = 8,080.38 : x
  2. Step 2: Convert to fraction form
    14,794.67/20,416.29 = 8,080.38/x
  3. Step 3: Cross multiply
    14,794.67x = 20,416.29 × 8,080.38
  4. Step 4: Simplify right side
    14,794.67x = 164,971,381.39
  5. Step 5: Solve for x
    x = 164,971,381.39/14,794.67
  6. Step 6: Final answer
    x = 11,150.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.