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Finding the Fourth Proportional to 21,185.76, 29,236.20 and 11,754.32

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Solution

The fourth proportional to 21,185.76, 29,236.20 and 11,754.32 is: 16,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.76 : 29,236.20 = 11,754.32 : x
  2. Step 2: Convert to fraction form
    21,185.76/29,236.20 = 11,754.32/x
  3. Step 3: Cross multiply
    21,185.76x = 29,236.20 × 11,754.32
  4. Step 4: Simplify right side
    21,185.76x = 343,651,650.38
  5. Step 5: Solve for x
    x = 343,651,650.38/21,185.76
  6. Step 6: Final answer
    x = 16,220.88

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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.