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Finding the Fourth Proportional to 27,505.20, 41,245.48 and 7,779.12

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Solution

The fourth proportional to 27,505.20, 41,245.48 and 7,779.12 is: 11,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,505.20 : 41,245.48 = 7,779.12 : x
  2. Step 2: Convert to fraction form
    27,505.20/41,245.48 = 7,779.12/x
  3. Step 3: Cross multiply
    27,505.20x = 41,245.48 × 7,779.12
  4. Step 4: Simplify right side
    27,505.20x = 320,853,538.38
  5. Step 5: Solve for x
    x = 320,853,538.38/27,505.20
  6. Step 6: Final answer
    x = 11,665.20

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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.