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Finding the Fourth Proportional to 43,463, 65,184.26 and 11,865.54

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Solution

The fourth proportional to 43,463, 65,184.26 and 11,865.54 is: 17,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463 : 65,184.26 = 11,865.54 : x
  2. Step 2: Convert to fraction form
    43,463/65,184.26 = 11,865.54/x
  3. Step 3: Cross multiply
    43,463x = 65,184.26 × 11,865.54
  4. Step 4: Simplify right side
    43,463x = 773,446,444.40
  5. Step 5: Solve for x
    x = 773,446,444.40/43,463
  6. Step 6: Final answer
    x = 17,795.51

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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.