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Finding the Fourth Proportional to 21,342.17, 29,453.48 and 11,911.34

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Solution

The fourth proportional to 21,342.17, 29,453.48 and 11,911.34 is: 16,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.17 : 29,453.48 = 11,911.34 : x
  2. Step 2: Convert to fraction form
    21,342.17/29,453.48 = 11,911.34/x
  3. Step 3: Cross multiply
    21,342.17x = 29,453.48 × 11,911.34
  4. Step 4: Simplify right side
    21,342.17x = 350,830,207.64
  5. Step 5: Solve for x
    x = 350,830,207.64/21,342.17
  6. Step 6: Final answer
    x = 16,438.36

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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.