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Finding the Fourth Proportional to 27,173.13, 40,765.83 and 9,642.96

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Solution

The fourth proportional to 27,173.13, 40,765.83 and 9,642.96 is: 14,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,173.13 : 40,765.83 = 9,642.96 : x
  2. Step 2: Convert to fraction form
    27,173.13/40,765.83 = 9,642.96/x
  3. Step 3: Cross multiply
    27,173.13x = 40,765.83 × 9,642.96
  4. Step 4: Simplify right side
    27,173.13x = 393,103,268.06
  5. Step 5: Solve for x
    x = 393,103,268.06/27,173.13
  6. Step 6: Final answer
    x = 14,466.62

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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.