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Finding the Fourth Proportional to 43,563.84, 65,348.19 and 12,396.66

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Solution

The fourth proportional to 43,563.84, 65,348.19 and 12,396.66 is: 18,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,563.84 : 65,348.19 = 12,396.66 : x
  2. Step 2: Convert to fraction form
    43,563.84/65,348.19 = 12,396.66/x
  3. Step 3: Cross multiply
    43,563.84x = 65,348.19 × 12,396.66
  4. Step 4: Simplify right side
    43,563.84x = 810,099,047.99
  5. Step 5: Solve for x
    x = 810,099,047.99/43,563.84
  6. Step 6: Final answer
    x = 18,595.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.