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Finding the Fourth Proportional to 12,834, 17,709.96 and 7,244.88

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Solution

The fourth proportional to 12,834, 17,709.96 and 7,244.88 is: 9,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 17,709.96 = 7,244.88 : x
  2. Step 2: Convert to fraction form
    12,834/17,709.96 = 7,244.88/x
  3. Step 3: Cross multiply
    12,834x = 17,709.96 × 7,244.88
  4. Step 4: Simplify right side
    12,834x = 128,306,535.00
  5. Step 5: Solve for x
    x = 128,306,535.00/12,834
  6. Step 6: Final answer
    x = 9,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.