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Finding the Fourth Proportional to 12,889.38, 17,787.04 and 7,584.54

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Solution

The fourth proportional to 12,889.38, 17,787.04 and 7,584.54 is: 10,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.38 : 17,787.04 = 7,584.54 : x
  2. Step 2: Convert to fraction form
    12,889.38/17,787.04 = 7,584.54/x
  3. Step 3: Cross multiply
    12,889.38x = 17,787.04 × 7,584.54
  4. Step 4: Simplify right side
    12,889.38x = 134,906,389.50
  5. Step 5: Solve for x
    x = 134,906,389.50/12,889.38
  6. Step 6: Final answer
    x = 10,466.48

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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.