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Finding the Fourth Proportional to 21,386.25, 29,512.49 and 11,954.88

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Solution

The fourth proportional to 21,386.25, 29,512.49 and 11,954.88 is: 16,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.25 : 29,512.49 = 11,954.88 : x
  2. Step 2: Convert to fraction form
    21,386.25/29,512.49 = 11,954.88/x
  3. Step 3: Cross multiply
    21,386.25x = 29,512.49 × 11,954.88
  4. Step 4: Simplify right side
    21,386.25x = 352,818,216.68
  5. Step 5: Solve for x
    x = 352,818,216.68/21,386.25
  6. Step 6: Final answer
    x = 16,497.43

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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.