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Finding the Fourth Proportional to 16,540.28, 22,824.92 and 9,825.72

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Solution

The fourth proportional to 16,540.28, 22,824.92 and 9,825.72 is: 13,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.28 : 22,824.92 = 9,825.72 : x
  2. Step 2: Convert to fraction form
    16,540.28/22,824.92 = 9,825.72/x
  3. Step 3: Cross multiply
    16,540.28x = 22,824.92 × 9,825.72
  4. Step 4: Simplify right side
    16,540.28x = 224,271,272.94
  5. Step 5: Solve for x
    x = 224,271,272.94/16,540.28
  6. Step 6: Final answer
    x = 13,559.10

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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.