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Finding the Fourth Proportional to 20,779.50, 31,182.93 and 7,631.99

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Solution

The fourth proportional to 20,779.50, 31,182.93 and 7,631.99 is: 11,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.50 : 31,182.93 = 7,631.99 : x
  2. Step 2: Convert to fraction form
    20,779.50/31,182.93 = 7,631.99/x
  3. Step 3: Cross multiply
    20,779.50x = 31,182.93 × 7,631.99
  4. Step 4: Simplify right side
    20,779.50x = 237,987,634.94
  5. Step 5: Solve for x
    x = 237,987,634.94/20,779.50
  6. Step 6: Final answer
    x = 11,453.00

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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.