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Finding the Fourth Proportional to 10,178.40, 15,267.60 and 8,234.40

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Solution

The fourth proportional to 10,178.40, 15,267.60 and 8,234.40 is: 12,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.40 : 15,267.60 = 8,234.40 : x
  2. Step 2: Convert to fraction form
    10,178.40/15,267.60 = 8,234.40/x
  3. Step 3: Cross multiply
    10,178.40x = 15,267.60 × 8,234.40
  4. Step 4: Simplify right side
    10,178.40x = 125,719,525.44
  5. Step 5: Solve for x
    x = 125,719,525.44/10,178.40
  6. Step 6: Final answer
    x = 12,351.60

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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.