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Finding the Fourth Proportional to 43,646.40, 65,461.68 and 12,474

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Solution

The fourth proportional to 43,646.40, 65,461.68 and 12,474 is: 18,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,646.40 : 65,461.68 = 12,474 : x
  2. Step 2: Convert to fraction form
    43,646.40/65,461.68 = 12,474/x
  3. Step 3: Cross multiply
    43,646.40x = 65,461.68 × 12,474
  4. Step 4: Simplify right side
    43,646.40x = 816,568,996.32
  5. Step 5: Solve for x
    x = 816,568,996.32/43,646.40
  6. Step 6: Final answer
    x = 18,708.74

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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.