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Finding the Fourth Proportional to 21,383.94, 29,509.25 and 11,954.32

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Solution

The fourth proportional to 21,383.94, 29,509.25 and 11,954.32 is: 16,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.94 : 29,509.25 = 11,954.32 : x
  2. Step 2: Convert to fraction form
    21,383.94/29,509.25 = 11,954.32/x
  3. Step 3: Cross multiply
    21,383.94x = 29,509.25 × 11,954.32
  4. Step 4: Simplify right side
    21,383.94x = 352,763,017.46
  5. Step 5: Solve for x
    x = 352,763,017.46/21,383.94
  6. Step 6: Final answer
    x = 16,496.63

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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.