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Finding the Fourth Proportional to 21,420.09, 29,561.09 and 11,991.69

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Solution

The fourth proportional to 21,420.09, 29,561.09 and 11,991.69 is: 16,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.09 : 29,561.09 = 11,991.69 : x
  2. Step 2: Convert to fraction form
    21,420.09/29,561.09 = 11,991.69/x
  3. Step 3: Cross multiply
    21,420.09x = 29,561.09 × 11,991.69
  4. Step 4: Simplify right side
    21,420.09x = 354,487,367.38
  5. Step 5: Solve for x
    x = 354,487,367.38/21,420.09
  6. Step 6: Final answer
    x = 16,549.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.