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Finding the Fourth Proportional to 14,930.25, 20,593.20 and 10,147.38

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Solution

The fourth proportional to 14,930.25, 20,593.20 and 10,147.38 is: 13,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.25 : 20,593.20 = 10,147.38 : x
  2. Step 2: Convert to fraction form
    14,930.25/20,593.20 = 10,147.38/x
  3. Step 3: Cross multiply
    14,930.25x = 20,593.20 × 10,147.38
  4. Step 4: Simplify right side
    14,930.25x = 208,967,025.82
  5. Step 5: Solve for x
    x = 208,967,025.82/14,930.25
  6. Step 6: Final answer
    x = 13,996.22

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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.