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Finding the Fourth Proportional to 12,765.49, 17,609.19 and 7,659.69

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Solution

The fourth proportional to 12,765.49, 17,609.19 and 7,659.69 is: 10,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.49 : 17,609.19 = 7,659.69 : x
  2. Step 2: Convert to fraction form
    12,765.49/17,609.19 = 7,659.69/x
  3. Step 3: Cross multiply
    12,765.49x = 17,609.19 × 7,659.69
  4. Step 4: Simplify right side
    12,765.49x = 134,880,841.79
  5. Step 5: Solve for x
    x = 134,880,841.79/12,765.49
  6. Step 6: Final answer
    x = 10,566.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.