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Finding the Fourth Proportional to 14,716.56, 20,308.48 and 8,002.05

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Solution

The fourth proportional to 14,716.56, 20,308.48 and 8,002.05 is: 11,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.56 : 20,308.48 = 8,002.05 : x
  2. Step 2: Convert to fraction form
    14,716.56/20,308.48 = 8,002.05/x
  3. Step 3: Cross multiply
    14,716.56x = 20,308.48 × 8,002.05
  4. Step 4: Simplify right side
    14,716.56x = 162,509,472.38
  5. Step 5: Solve for x
    x = 162,509,472.38/14,716.56
  6. Step 6: Final answer
    x = 11,042.63

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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.