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Finding the Fourth Proportional to 21,949.26, 32,915.99 and 9,463.92

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Solution

The fourth proportional to 21,949.26, 32,915.99 and 9,463.92 is: 14,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,949.26 : 32,915.99 = 9,463.92 : x
  2. Step 2: Convert to fraction form
    21,949.26/32,915.99 = 9,463.92/x
  3. Step 3: Cross multiply
    21,949.26x = 32,915.99 × 9,463.92
  4. Step 4: Simplify right side
    21,949.26x = 311,514,143.07
  5. Step 5: Solve for x
    x = 311,514,143.07/21,949.26
  6. Step 6: Final answer
    x = 14,192.47

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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.