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Finding the Fourth Proportional to 21,757.24, 32,619.90 and 6,957.64

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Solution

The fourth proportional to 21,757.24, 32,619.90 and 6,957.64 is: 10,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.24 : 32,619.90 = 6,957.64 : x
  2. Step 2: Convert to fraction form
    21,757.24/32,619.90 = 6,957.64/x
  3. Step 3: Cross multiply
    21,757.24x = 32,619.90 × 6,957.64
  4. Step 4: Simplify right side
    21,757.24x = 226,957,521.04
  5. Step 5: Solve for x
    x = 226,957,521.04/21,757.24
  6. Step 6: Final answer
    x = 10,431.36

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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.