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Finding the Fourth Proportional to 12,234.45, 18,351.78 and 6,402.45

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Solution

The fourth proportional to 12,234.45, 18,351.78 and 6,402.45 is: 9,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.45 : 18,351.78 = 6,402.45 : x
  2. Step 2: Convert to fraction form
    12,234.45/18,351.78 = 6,402.45/x
  3. Step 3: Cross multiply
    12,234.45x = 18,351.78 × 6,402.45
  4. Step 4: Simplify right side
    12,234.45x = 117,496,353.86
  5. Step 5: Solve for x
    x = 117,496,353.86/12,234.45
  6. Step 6: Final answer
    x = 9,603.73

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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.