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Finding the Fourth Proportional to 23,039.64, 34,563.12 and 8,244.48

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Solution

The fourth proportional to 23,039.64, 34,563.12 and 8,244.48 is: 12,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039.64 : 34,563.12 = 8,244.48 : x
  2. Step 2: Convert to fraction form
    23,039.64/34,563.12 = 8,244.48/x
  3. Step 3: Cross multiply
    23,039.64x = 34,563.12 × 8,244.48
  4. Step 4: Simplify right side
    23,039.64x = 284,954,951.58
  5. Step 5: Solve for x
    x = 284,954,951.58/23,039.64
  6. Step 6: Final answer
    x = 12,368.03

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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.