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Finding the Fourth Proportional to 13,765.38, 18,996.12 and 7,477.80

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Solution

The fourth proportional to 13,765.38, 18,996.12 and 7,477.80 is: 10,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.38 : 18,996.12 = 7,477.80 : x
  2. Step 2: Convert to fraction form
    13,765.38/18,996.12 = 7,477.80/x
  3. Step 3: Cross multiply
    13,765.38x = 18,996.12 × 7,477.80
  4. Step 4: Simplify right side
    13,765.38x = 142,049,186.14
  5. Step 5: Solve for x
    x = 142,049,186.14/13,765.38
  6. Step 6: Final answer
    x = 10,319.31

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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.