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Finding the Fourth Proportional to 21,673, 29,908.74 and 11,737

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Solution

The fourth proportional to 21,673, 29,908.74 and 11,737 is: 16,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673 : 29,908.74 = 11,737 : x
  2. Step 2: Convert to fraction form
    21,673/29,908.74 = 11,737/x
  3. Step 3: Cross multiply
    21,673x = 29,908.74 × 11,737
  4. Step 4: Simplify right side
    21,673x = 351,038,881.38
  5. Step 5: Solve for x
    x = 351,038,881.38/21,673
  6. Step 6: Final answer
    x = 16,197.06

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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.