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Finding the Fourth Proportional to 21,192.88, 29,243.64 and 11,760.16

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Solution

The fourth proportional to 21,192.88, 29,243.64 and 11,760.16 is: 16,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.88 : 29,243.64 = 11,760.16 : x
  2. Step 2: Convert to fraction form
    21,192.88/29,243.64 = 11,760.16/x
  3. Step 3: Cross multiply
    21,192.88x = 29,243.64 × 11,760.16
  4. Step 4: Simplify right side
    21,192.88x = 343,909,885.38
  5. Step 5: Solve for x
    x = 343,909,885.38/21,192.88
  6. Step 6: Final answer
    x = 16,227.61

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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.