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Finding the Fourth Proportional to 20,779.16, 31,168.86 and 5,196.20

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Solution

The fourth proportional to 20,779.16, 31,168.86 and 5,196.20 is: 7,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.16 : 31,168.86 = 5,196.20 : x
  2. Step 2: Convert to fraction form
    20,779.16/31,168.86 = 5,196.20/x
  3. Step 3: Cross multiply
    20,779.16x = 31,168.86 × 5,196.20
  4. Step 4: Simplify right side
    20,779.16x = 161,959,630.33
  5. Step 5: Solve for x
    x = 161,959,630.33/20,779.16
  6. Step 6: Final answer
    x = 7,794.33

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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.