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Finding the Fourth Proportional to 19,845.28, 29,769.04 and 6,519.12

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Solution

The fourth proportional to 19,845.28, 29,769.04 and 6,519.12 is: 9,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845.28 : 29,769.04 = 6,519.12 : x
  2. Step 2: Convert to fraction form
    19,845.28/29,769.04 = 6,519.12/x
  3. Step 3: Cross multiply
    19,845.28x = 29,769.04 × 6,519.12
  4. Step 4: Simplify right side
    19,845.28x = 194,067,944.04
  5. Step 5: Solve for x
    x = 194,067,944.04/19,845.28
  6. Step 6: Final answer
    x = 9,779.05

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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.