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Finding the Fourth Proportional to 12,833.44, 17,711.62 and 7,244

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Solution

The fourth proportional to 12,833.44, 17,711.62 and 7,244 is: 9,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.44 : 17,711.62 = 7,244 : x
  2. Step 2: Convert to fraction form
    12,833.44/17,711.62 = 7,244/x
  3. Step 3: Cross multiply
    12,833.44x = 17,711.62 × 7,244
  4. Step 4: Simplify right side
    12,833.44x = 128,302,975.28
  5. Step 5: Solve for x
    x = 128,302,975.28/12,833.44
  6. Step 6: Final answer
    x = 9,997.55

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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.