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Finding the Fourth Proportional to 43,707.84, 65,563.13 and 12,118.20

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Solution

The fourth proportional to 43,707.84, 65,563.13 and 12,118.20 is: 18,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,707.84 : 65,563.13 = 12,118.20 : x
  2. Step 2: Convert to fraction form
    43,707.84/65,563.13 = 12,118.20/x
  3. Step 3: Cross multiply
    43,707.84x = 65,563.13 × 12,118.20
  4. Step 4: Simplify right side
    43,707.84x = 794,507,121.97
  5. Step 5: Solve for x
    x = 794,507,121.97/43,707.84
  6. Step 6: Final answer
    x = 18,177.68

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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.