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Finding the Fourth Proportional to 17,178.18, 25,767.84 and 8,170.40

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Solution

The fourth proportional to 17,178.18, 25,767.84 and 8,170.40 is: 12,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178.18 : 25,767.84 = 8,170.40 : x
  2. Step 2: Convert to fraction form
    17,178.18/25,767.84 = 8,170.40/x
  3. Step 3: Cross multiply
    17,178.18x = 25,767.84 × 8,170.40
  4. Step 4: Simplify right side
    17,178.18x = 210,533,431.10
  5. Step 5: Solve for x
    x = 210,533,431.10/17,178.18
  6. Step 6: Final answer
    x = 12,255.86

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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.