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Finding the Fourth Proportional to 20,779.40, 31,182.75 and 7,631.89

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Solution

The fourth proportional to 20,779.40, 31,182.75 and 7,631.89 is: 11,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.40 : 31,182.75 = 7,631.89 : x
  2. Step 2: Convert to fraction form
    20,779.40/31,182.75 = 7,631.89/x
  3. Step 3: Cross multiply
    20,779.40x = 31,182.75 × 7,631.89
  4. Step 4: Simplify right side
    20,779.40x = 237,983,239.94
  5. Step 5: Solve for x
    x = 237,983,239.94/20,779.40
  6. Step 6: Final answer
    x = 11,452.84

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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.