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Finding the Fourth Proportional to 27,202.81, 40,779.59 and 9,668.54

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Solution

The fourth proportional to 27,202.81, 40,779.59 and 9,668.54 is: 14,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.81 : 40,779.59 = 9,668.54 : x
  2. Step 2: Convert to fraction form
    27,202.81/40,779.59 = 9,668.54/x
  3. Step 3: Cross multiply
    27,202.81x = 40,779.59 × 9,668.54
  4. Step 4: Simplify right side
    27,202.81x = 394,278,893.20
  5. Step 5: Solve for x
    x = 394,278,893.20/27,202.81
  6. Step 6: Final answer
    x = 14,494.05

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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.