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Finding the Fourth Proportional to 15,770.84, 23,605.22 and 11,609.96

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Solution

The fourth proportional to 15,770.84, 23,605.22 and 11,609.96 is: 17,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.84 : 23,605.22 = 11,609.96 : x
  2. Step 2: Convert to fraction form
    15,770.84/23,605.22 = 11,609.96/x
  3. Step 3: Cross multiply
    15,770.84x = 23,605.22 × 11,609.96
  4. Step 4: Simplify right side
    15,770.84x = 274,055,659.99
  5. Step 5: Solve for x
    x = 274,055,659.99/15,770.84
  6. Step 6: Final answer
    x = 17,377.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.