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Finding the Fourth Proportional to 14,476.43, 19,974.24 and 8,814.14

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Solution

The fourth proportional to 14,476.43, 19,974.24 and 8,814.14 is: 12,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.43 : 19,974.24 = 8,814.14 : x
  2. Step 2: Convert to fraction form
    14,476.43/19,974.24 = 8,814.14/x
  3. Step 3: Cross multiply
    14,476.43x = 19,974.24 × 8,814.14
  4. Step 4: Simplify right side
    14,476.43x = 176,055,747.75
  5. Step 5: Solve for x
    x = 176,055,747.75/14,476.43
  6. Step 6: Final answer
    x = 12,161.54

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1.5x scale

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.