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Finding the Fourth Proportional to 16,548.97, 24,809.50 and 7,181.93

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Solution

The fourth proportional to 16,548.97, 24,809.50 and 7,181.93 is: 10,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.97 : 24,809.50 = 7,181.93 : x
  2. Step 2: Convert to fraction form
    16,548.97/24,809.50 = 7,181.93/x
  3. Step 3: Cross multiply
    16,548.97x = 24,809.50 × 7,181.93
  4. Step 4: Simplify right side
    16,548.97x = 178,180,092.34
  5. Step 5: Solve for x
    x = 178,180,092.34/16,548.97
  6. Step 6: Final answer
    x = 10,766.84

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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.