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Finding the Fourth Proportional to 20,739.12, 28,620.72 and 11,787

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Solution

The fourth proportional to 20,739.12, 28,620.72 and 11,787 is: 16,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,739.12 : 28,620.72 = 11,787 : x
  2. Step 2: Convert to fraction form
    20,739.12/28,620.72 = 11,787/x
  3. Step 3: Cross multiply
    20,739.12x = 28,620.72 × 11,787
  4. Step 4: Simplify right side
    20,739.12x = 337,352,426.64
  5. Step 5: Solve for x
    x = 337,352,426.64/20,739.12
  6. Step 6: Final answer
    x = 16,266.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.