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Finding the Fourth Proportional to 14,630.80, 20,190.47 and 8,257.38

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Solution

The fourth proportional to 14,630.80, 20,190.47 and 8,257.38 is: 11,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.80 : 20,190.47 = 8,257.38 : x
  2. Step 2: Convert to fraction form
    14,630.80/20,190.47 = 8,257.38/x
  3. Step 3: Cross multiply
    14,630.80x = 20,190.47 × 8,257.38
  4. Step 4: Simplify right side
    14,630.80x = 166,720,383.17
  5. Step 5: Solve for x
    x = 166,720,383.17/14,630.80
  6. Step 6: Final answer
    x = 11,395.17

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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.