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Finding the Fourth Proportional to 27,325.48, 40,980.30 and 9,785.80

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Solution

The fourth proportional to 27,325.48, 40,980.30 and 9,785.80 is: 14,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,325.48 : 40,980.30 = 9,785.80 : x
  2. Step 2: Convert to fraction form
    27,325.48/40,980.30 = 9,785.80/x
  3. Step 3: Cross multiply
    27,325.48x = 40,980.30 × 9,785.80
  4. Step 4: Simplify right side
    27,325.48x = 401,025,019.74
  5. Step 5: Solve for x
    x = 401,025,019.74/27,325.48
  6. Step 6: Final answer
    x = 14,675.86

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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.