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Finding the Fourth Proportional to 12,765.66, 17,501.66 and 12,532.38

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Solution

The fourth proportional to 12,765.66, 17,501.66 and 12,532.38 is: 17,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.66 : 17,501.66 = 12,532.38 : x
  2. Step 2: Convert to fraction form
    12,765.66/17,501.66 = 12,532.38/x
  3. Step 3: Cross multiply
    12,765.66x = 17,501.66 × 12,532.38
  4. Step 4: Simplify right side
    12,765.66x = 219,337,391.09
  5. Step 5: Solve for x
    x = 219,337,391.09/12,765.66
  6. Step 6: Final answer
    x = 17,181.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.