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Finding the Fourth Proportional to 14,814.79, 20,446.34 and 8,443.69

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Solution

The fourth proportional to 14,814.79, 20,446.34 and 8,443.69 is: 11,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.79 : 20,446.34 = 8,443.69 : x
  2. Step 2: Convert to fraction form
    14,814.79/20,446.34 = 8,443.69/x
  3. Step 3: Cross multiply
    14,814.79x = 20,446.34 × 8,443.69
  4. Step 4: Simplify right side
    14,814.79x = 172,642,556.59
  5. Step 5: Solve for x
    x = 172,642,556.59/14,814.79
  6. Step 6: Final answer
    x = 11,653.39

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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.