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Finding the Fourth Proportional to 12,234.67, 18,348.90 and 5,210.80

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Solution

The fourth proportional to 12,234.67, 18,348.90 and 5,210.80 is: 7,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.67 : 18,348.90 = 5,210.80 : x
  2. Step 2: Convert to fraction form
    12,234.67/18,348.90 = 5,210.80/x
  3. Step 3: Cross multiply
    12,234.67x = 18,348.90 × 5,210.80
  4. Step 4: Simplify right side
    12,234.67x = 95,612,448.12
  5. Step 5: Solve for x
    x = 95,612,448.12/12,234.67
  6. Step 6: Final answer
    x = 7,814.88

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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.