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Finding the Fourth Proportional to 21,344.09, 29,455.20 and 11,784.20

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Solution

The fourth proportional to 21,344.09, 29,455.20 and 11,784.20 is: 16,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.09 : 29,455.20 = 11,784.20 : x
  2. Step 2: Convert to fraction form
    21,344.09/29,455.20 = 11,784.20/x
  3. Step 3: Cross multiply
    21,344.09x = 29,455.20 × 11,784.20
  4. Step 4: Simplify right side
    21,344.09x = 347,105,820.56
  5. Step 5: Solve for x
    x = 347,105,820.56/21,344.09
  6. Step 6: Final answer
    x = 16,262.39

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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.