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Finding the Fourth Proportional to 21,278.64, 31,868.48 and 20,540.40

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Solution

The fourth proportional to 21,278.64, 31,868.48 and 20,540.40 is: 30,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.64 : 31,868.48 = 20,540.40 : x
  2. Step 2: Convert to fraction form
    21,278.64/31,868.48 = 20,540.40/x
  3. Step 3: Cross multiply
    21,278.64x = 31,868.48 × 20,540.40
  4. Step 4: Simplify right side
    21,278.64x = 654,591,326.59
  5. Step 5: Solve for x
    x = 654,591,326.59/21,278.64
  6. Step 6: Final answer
    x = 30,762.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.