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Finding the Fourth Proportional to 13,476.14, 18,462.39 and 12,971.09

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Solution

The fourth proportional to 13,476.14, 18,462.39 and 12,971.09 is: 17,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.14 : 18,462.39 = 12,971.09 : x
  2. Step 2: Convert to fraction form
    13,476.14/18,462.39 = 12,971.09/x
  3. Step 3: Cross multiply
    13,476.14x = 18,462.39 × 12,971.09
  4. Step 4: Simplify right side
    13,476.14x = 239,477,229.99
  5. Step 5: Solve for x
    x = 239,477,229.99/13,476.14
  6. Step 6: Final answer
    x = 17,770.47

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