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Finding the Fourth Proportional to 20,779.84, 31,173.83 and 7,632.31

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Solution

The fourth proportional to 20,779.84, 31,173.83 and 7,632.31 is: 11,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.84 : 31,173.83 = 7,632.31 : x
  2. Step 2: Convert to fraction form
    20,779.84/31,173.83 = 7,632.31/x
  3. Step 3: Cross multiply
    20,779.84x = 31,173.83 × 7,632.31
  4. Step 4: Simplify right side
    20,779.84x = 237,928,296.29
  5. Step 5: Solve for x
    x = 237,928,296.29/20,779.84
  6. Step 6: Final answer
    x = 11,449.96

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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.