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Finding the Fourth Proportional to 12,765.38, 17,616.23 and 7,176.38

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Solution

The fourth proportional to 12,765.38, 17,616.23 and 7,176.38 is: 9,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.38 : 17,616.23 = 7,176.38 : x
  2. Step 2: Convert to fraction form
    12,765.38/17,616.23 = 7,176.38/x
  3. Step 3: Cross multiply
    12,765.38x = 17,616.23 × 7,176.38
  4. Step 4: Simplify right side
    12,765.38x = 126,420,636.68
  5. Step 5: Solve for x
    x = 126,420,636.68/12,765.38
  6. Step 6: Final answer
    x = 9,903.40

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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.