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Finding the Fourth Proportional to 16,538.42, 24,808.44 and 6,676.47

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Solution

The fourth proportional to 16,538.42, 24,808.44 and 6,676.47 is: 10,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.42 : 24,808.44 = 6,676.47 : x
  2. Step 2: Convert to fraction form
    16,538.42/24,808.44 = 6,676.47/x
  3. Step 3: Cross multiply
    16,538.42x = 24,808.44 × 6,676.47
  4. Step 4: Simplify right side
    16,538.42x = 165,632,805.41
  5. Step 5: Solve for x
    x = 165,632,805.41/16,538.42
  6. Step 6: Final answer
    x = 10,015.03

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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.