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Finding the Fourth Proportional to 36,140.96, 54,205.92 and 12,764

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Solution

The fourth proportional to 36,140.96, 54,205.92 and 12,764 is: 19,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,140.96 : 54,205.92 = 12,764 : x
  2. Step 2: Convert to fraction form
    36,140.96/54,205.92 = 12,764/x
  3. Step 3: Cross multiply
    36,140.96x = 54,205.92 × 12,764
  4. Step 4: Simplify right side
    36,140.96x = 691,884,362.88
  5. Step 5: Solve for x
    x = 691,884,362.88/36,140.96
  6. Step 6: Final answer
    x = 19,144.05

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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.