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Finding the Fourth Proportional to 21,684.50, 32,501.97 and 9,847.29

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Solution

The fourth proportional to 21,684.50, 32,501.97 and 9,847.29 is: 14,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.50 : 32,501.97 = 9,847.29 : x
  2. Step 2: Convert to fraction form
    21,684.50/32,501.97 = 9,847.29/x
  3. Step 3: Cross multiply
    21,684.50x = 32,501.97 × 9,847.29
  4. Step 4: Simplify right side
    21,684.50x = 320,056,324.16
  5. Step 5: Solve for x
    x = 320,056,324.16/21,684.50
  6. Step 6: Final answer
    x = 14,759.69

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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.