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Finding the Fourth Proportional to 13,434.72, 18,540.53 and 7,466.97

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Solution

The fourth proportional to 13,434.72, 18,540.53 and 7,466.97 is: 10,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.72 : 18,540.53 = 7,466.97 : x
  2. Step 2: Convert to fraction form
    13,434.72/18,540.53 = 7,466.97/x
  3. Step 3: Cross multiply
    13,434.72x = 18,540.53 × 7,466.97
  4. Step 4: Simplify right side
    13,434.72x = 138,441,581.29
  5. Step 5: Solve for x
    x = 138,441,581.29/13,434.72
  6. Step 6: Final answer
    x = 10,304.76

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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.