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Finding the Fourth Proportional to 18,412.20, 27,618.30 and 9,649.80

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Solution

The fourth proportional to 18,412.20, 27,618.30 and 9,649.80 is: 14,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.20 : 27,618.30 = 9,649.80 : x
  2. Step 2: Convert to fraction form
    18,412.20/27,618.30 = 9,649.80/x
  3. Step 3: Cross multiply
    18,412.20x = 27,618.30 × 9,649.80
  4. Step 4: Simplify right side
    18,412.20x = 266,511,071.34
  5. Step 5: Solve for x
    x = 266,511,071.34/18,412.20
  6. Step 6: Final answer
    x = 14,474.70

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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.