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Finding the Fourth Proportional to 21,070.42, 29,076.93 and 11,638.78

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Solution

The fourth proportional to 21,070.42, 29,076.93 and 11,638.78 is: 16,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070.42 : 29,076.93 = 11,638.78 : x
  2. Step 2: Convert to fraction form
    21,070.42/29,076.93 = 11,638.78/x
  3. Step 3: Cross multiply
    21,070.42x = 29,076.93 × 11,638.78
  4. Step 4: Simplify right side
    21,070.42x = 338,419,991.35
  5. Step 5: Solve for x
    x = 338,419,991.35/21,070.42
  6. Step 6: Final answer
    x = 16,061.38

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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.