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Finding the Fourth Proportional to 11,933.26, 16,477.86 and 9,954.19

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Solution

The fourth proportional to 11,933.26, 16,477.86 and 9,954.19 is: 13,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.26 : 16,477.86 = 9,954.19 : x
  2. Step 2: Convert to fraction form
    11,933.26/16,477.86 = 9,954.19/x
  3. Step 3: Cross multiply
    11,933.26x = 16,477.86 × 9,954.19
  4. Step 4: Simplify right side
    11,933.26x = 164,023,807.16
  5. Step 5: Solve for x
    x = 164,023,807.16/11,933.26
  6. Step 6: Final answer
    x = 13,745.10

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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.