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Finding the Fourth Proportional to 21,600, 32,403.24 and 7,563.78

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Solution

The fourth proportional to 21,600, 32,403.24 and 7,563.78 is: 11,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600 : 32,403.24 = 7,563.78 : x
  2. Step 2: Convert to fraction form
    21,600/32,403.24 = 7,563.78/x
  3. Step 3: Cross multiply
    21,600x = 32,403.24 × 7,563.78
  4. Step 4: Simplify right side
    21,600x = 245,090,978.65
  5. Step 5: Solve for x
    x = 245,090,978.65/21,600
  6. Step 6: Final answer
    x = 11,346.80

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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.