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Finding the Fourth Proportional to 11,954.29, 16,513.79 and 9,580.03

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Solution

The fourth proportional to 11,954.29, 16,513.79 and 9,580.03 is: 13,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.29 : 16,513.79 = 9,580.03 : x
  2. Step 2: Convert to fraction form
    11,954.29/16,513.79 = 9,580.03/x
  3. Step 3: Cross multiply
    11,954.29x = 16,513.79 × 9,580.03
  4. Step 4: Simplify right side
    11,954.29x = 158,202,603.61
  5. Step 5: Solve for x
    x = 158,202,603.61/11,954.29
  6. Step 6: Final answer
    x = 13,233.96

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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.