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Finding the Fourth Proportional to 21,542.84, 29,731.82 and 12,111.38

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Solution

The fourth proportional to 21,542.84, 29,731.82 and 12,111.38 is: 16,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.84 : 29,731.82 = 12,111.38 : x
  2. Step 2: Convert to fraction form
    21,542.84/29,731.82 = 12,111.38/x
  3. Step 3: Cross multiply
    21,542.84x = 29,731.82 × 12,111.38
  4. Step 4: Simplify right side
    21,542.84x = 360,093,160.90
  5. Step 5: Solve for x
    x = 360,093,160.90/21,542.84
  6. Step 6: Final answer
    x = 16,715.22

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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.