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Finding the Fourth Proportional to 20,647.90, 30,971.82 and 5,065.36

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Solution

The fourth proportional to 20,647.90, 30,971.82 and 5,065.36 is: 7,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.90 : 30,971.82 = 5,065.36 : x
  2. Step 2: Convert to fraction form
    20,647.90/30,971.82 = 5,065.36/x
  3. Step 3: Cross multiply
    20,647.90x = 30,971.82 × 5,065.36
  4. Step 4: Simplify right side
    20,647.90x = 156,883,418.16
  5. Step 5: Solve for x
    x = 156,883,418.16/20,647.90
  6. Step 6: Final answer
    x = 7,598.03

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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.