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Finding the Fourth Proportional to 21,984.08, 32,963.82 and 9,496.31

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Solution

The fourth proportional to 21,984.08, 32,963.82 and 9,496.31 is: 14,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.08 : 32,963.82 = 9,496.31 : x
  2. Step 2: Convert to fraction form
    21,984.08/32,963.82 = 9,496.31/x
  3. Step 3: Cross multiply
    21,984.08x = 32,963.82 × 9,496.31
  4. Step 4: Simplify right side
    21,984.08x = 313,034,653.50
  5. Step 5: Solve for x
    x = 313,034,653.50/21,984.08
  6. Step 6: Final answer
    x = 14,239.15

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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.