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Finding the Fourth Proportional to 16,548.67, 24,809.02 and 7,181.62

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Solution

The fourth proportional to 16,548.67, 24,809.02 and 7,181.62 is: 10,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.67 : 24,809.02 = 7,181.62 : x
  2. Step 2: Convert to fraction form
    16,548.67/24,809.02 = 7,181.62/x
  3. Step 3: Cross multiply
    16,548.67x = 24,809.02 × 7,181.62
  4. Step 4: Simplify right side
    16,548.67x = 178,168,954.21
  5. Step 5: Solve for x
    x = 178,168,954.21/16,548.67
  6. Step 6: Final answer
    x = 10,766.36

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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.