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Finding the Fourth Proportional to 12,328.12, 17,015.97 and 7,609.69

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Solution

The fourth proportional to 12,328.12, 17,015.97 and 7,609.69 is: 10,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.12 : 17,015.97 = 7,609.69 : x
  2. Step 2: Convert to fraction form
    12,328.12/17,015.97 = 7,609.69/x
  3. Step 3: Cross multiply
    12,328.12x = 17,015.97 × 7,609.69
  4. Step 4: Simplify right side
    12,328.12x = 129,486,256.75
  5. Step 5: Solve for x
    x = 129,486,256.75/12,328.12
  6. Step 6: Final answer
    x = 10,503.33

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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.