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Finding the Fourth Proportional to 20,779.93, 31,151.06 and 8,297.32

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Solution

The fourth proportional to 20,779.93, 31,151.06 and 8,297.32 is: 12,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.93 : 31,151.06 = 8,297.32 : x
  2. Step 2: Convert to fraction form
    20,779.93/31,151.06 = 8,297.32/x
  3. Step 3: Cross multiply
    20,779.93x = 31,151.06 × 8,297.32
  4. Step 4: Simplify right side
    20,779.93x = 258,470,313.16
  5. Step 5: Solve for x
    x = 258,470,313.16/20,779.93
  6. Step 6: Final answer
    x = 12,438.46

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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.