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Finding the Fourth Proportional to 25,676.80, 35,415.04 and 16,236.24

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Solution

The fourth proportional to 25,676.80, 35,415.04 and 16,236.24 is: 22,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.80 : 35,415.04 = 16,236.24 : x
  2. Step 2: Convert to fraction form
    25,676.80/35,415.04 = 16,236.24/x
  3. Step 3: Cross multiply
    25,676.80x = 35,415.04 × 16,236.24
  4. Step 4: Simplify right side
    25,676.80x = 575,007,089.05
  5. Step 5: Solve for x
    x = 575,007,089.05/25,676.80
  6. Step 6: Final answer
    x = 22,394.03

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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.