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Finding the Fourth Proportional to 13,963.41, 19,285.96 and 9,239.49

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Solution

The fourth proportional to 13,963.41, 19,285.96 and 9,239.49 is: 12,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.41 : 19,285.96 = 9,239.49 : x
  2. Step 2: Convert to fraction form
    13,963.41/19,285.96 = 9,239.49/x
  3. Step 3: Cross multiply
    13,963.41x = 19,285.96 × 9,239.49
  4. Step 4: Simplify right side
    13,963.41x = 178,192,411.46
  5. Step 5: Solve for x
    x = 178,192,411.46/13,963.41
  6. Step 6: Final answer
    x = 12,761.38

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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.