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Finding the Fourth Proportional to 21,512.25, 29,674.04 and 13,540.64

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Solution

The fourth proportional to 21,512.25, 29,674.04 and 13,540.64 is: 18,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.25 : 29,674.04 = 13,540.64 : x
  2. Step 2: Convert to fraction form
    21,512.25/29,674.04 = 13,540.64/x
  3. Step 3: Cross multiply
    21,512.25x = 29,674.04 × 13,540.64
  4. Step 4: Simplify right side
    21,512.25x = 401,805,276.91
  5. Step 5: Solve for x
    x = 401,805,276.91/21,512.25
  6. Step 6: Final answer
    x = 18,677.98

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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.