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Finding the Fourth Proportional to 27,316.40, 40,974.60 and 9,786.80

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Solution

The fourth proportional to 27,316.40, 40,974.60 and 9,786.80 is: 14,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.40 : 40,974.60 = 9,786.80 : x
  2. Step 2: Convert to fraction form
    27,316.40/40,974.60 = 9,786.80/x
  3. Step 3: Cross multiply
    27,316.40x = 40,974.60 × 9,786.80
  4. Step 4: Simplify right side
    27,316.40x = 401,010,215.28
  5. Step 5: Solve for x
    x = 401,010,215.28/27,316.40
  6. Step 6: Final answer
    x = 14,680.20

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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.