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Finding the Fourth Proportional to 43,580.32, 65,382.24 and 12,418.24

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Solution

The fourth proportional to 43,580.32, 65,382.24 and 12,418.24 is: 18,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,580.32 : 65,382.24 = 12,418.24 : x
  2. Step 2: Convert to fraction form
    43,580.32/65,382.24 = 12,418.24/x
  3. Step 3: Cross multiply
    43,580.32x = 65,382.24 × 12,418.24
  4. Step 4: Simplify right side
    43,580.32x = 811,932,348.06
  5. Step 5: Solve for x
    x = 811,932,348.06/43,580.32
  6. Step 6: Final answer
    x = 18,630.71

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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.