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Finding the Fourth Proportional to 17,771.34, 26,652.12 and 6,677.16

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Solution

The fourth proportional to 17,771.34, 26,652.12 and 6,677.16 is: 10,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.34 : 26,652.12 = 6,677.16 : x
  2. Step 2: Convert to fraction form
    17,771.34/26,652.12 = 6,677.16/x
  3. Step 3: Cross multiply
    17,771.34x = 26,652.12 × 6,677.16
  4. Step 4: Simplify right side
    17,771.34x = 177,960,469.58
  5. Step 5: Solve for x
    x = 177,960,469.58/17,771.34
  6. Step 6: Final answer
    x = 10,013.90

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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.