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Finding the Fourth Proportional to 11,963.88, 17,901.93 and 9,984.62

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Solution

The fourth proportional to 11,963.88, 17,901.93 and 9,984.62 is: 14,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.88 : 17,901.93 = 9,984.62 : x
  2. Step 2: Convert to fraction form
    11,963.88/17,901.93 = 9,984.62/x
  3. Step 3: Cross multiply
    11,963.88x = 17,901.93 × 9,984.62
  4. Step 4: Simplify right side
    11,963.88x = 178,743,968.32
  5. Step 5: Solve for x
    x = 178,743,968.32/11,963.88
  6. Step 6: Final answer
    x = 14,940.30

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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.