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Finding the Fourth Proportional to 20,879.25, 31,304.00 and 9,779.86

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Solution

The fourth proportional to 20,879.25, 31,304.00 and 9,779.86 is: 14,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.25 : 31,304.00 = 9,779.86 : x
  2. Step 2: Convert to fraction form
    20,879.25/31,304.00 = 9,779.86/x
  3. Step 3: Cross multiply
    20,879.25x = 31,304.00 × 9,779.86
  4. Step 4: Simplify right side
    20,879.25x = 306,148,688.54
  5. Step 5: Solve for x
    x = 306,148,688.54/20,879.25
  6. Step 6: Final answer
    x = 14,662.82

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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.