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Finding the Fourth Proportional to 21,725.28, 32,592.84 and 6,935.16

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Solution

The fourth proportional to 21,725.28, 32,592.84 and 6,935.16 is: 10,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.28 : 32,592.84 = 6,935.16 : x
  2. Step 2: Convert to fraction form
    21,725.28/32,592.84 = 6,935.16/x
  3. Step 3: Cross multiply
    21,725.28x = 32,592.84 × 6,935.16
  4. Step 4: Simplify right side
    21,725.28x = 226,036,560.25
  5. Step 5: Solve for x
    x = 226,036,560.25/21,725.28
  6. Step 6: Final answer
    x = 10,404.31

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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.